Nuclear Physics BPub Date : 2025-02-14DOI: 10.1016/j.nuclphysb.2025.116832
Harriet L. Dao
{"title":"Deep learning Calabi-Yau four folds with hybrid and recurrent neural network architectures","authors":"Harriet L. Dao","doi":"10.1016/j.nuclphysb.2025.116832","DOIUrl":"10.1016/j.nuclphysb.2025.116832","url":null,"abstract":"<div><div>In this work, we report the results of applying deep learning based on hybrid convolutional-recurrent and purely recurrent neural network architectures to the dataset of almost one million complete intersection Calabi-Yau four-folds (CICY4) to machine-learn their four Hodge numbers <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span>, <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>2</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span>, <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>3</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span>, <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msup></math></span>. In particular, we explored and experimented with twelve different neural network models, nine of which are convolutional-recurrent (CNN-RNN) hybrids with the RNN unit being either GRU (Gated Recurrent Unit) or Long Short Term Memory (LSTM). The remaining four models are purely recurrent neural networks based on LSTM. In terms of the <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span>, <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>2</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span>, <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>3</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span> and <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msup></math></span> prediction accuracies, at 72% training ratio, our best performing individual model is CNN-LSTM-400, a hybrid CNN-LSTM with the LSTM hidden size of 400, which obtained 99.74%, 98.07%, 95.19%, 81.01%, our second best performing individual model is LSTM-448, an LSTM-based model with the hidden size of 448, which obtained 99.74%, 97.51%, 94.24%, and 78.63%. These results were improved by forming ensembles of the top two, three or even four models. Our best ensemble, consisting of the top four models, achieved the accuracies of 99.84%, 98.71%, 96.26%, 85.03%. At 80% training ratio, the top two performing models LSTM-448 and LSTM-424 are both LSTM-based with the hidden sizes of 448 and 424. Compared with the 72% training ratio, there is a significant improvement of accuracies, which reached 99.85%, 98.66%, 96.26%, 84.77% for the best individual model and 99.90%, 99.03%, 97.97%, 87.34% for the best ensemble. By nature a proof of concept, the results of this work conclusively established the utility of RNN-based architectures and demonstrated their effective performances compared to the well-explored purely CNN-based architectures in the problem of deep learning Calabi Yau manifolds.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1013 ","pages":"Article 116832"},"PeriodicalIF":2.5,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2025-02-14DOI: 10.1016/j.nuclphysb.2025.116844
Kazuhiko Minami
{"title":"Conserved charges of series of solvable lattice models","authors":"Kazuhiko Minami","doi":"10.1016/j.nuclphysb.2025.116844","DOIUrl":"10.1016/j.nuclphysb.2025.116844","url":null,"abstract":"<div><div>An infinite number of solvable Hamiltonians, including the transverse Ising chain, the XY chain with an external field, the cluster model with next-nearest-neighbor <em>x</em>-<em>x</em> interactions, or with next-nearest-neighbor <em>z</em>-<em>z</em> interactions, and other solvable models that can be mapped to the free fermion system are considered. All the conserved charges of these models written by the string-type products of the interactions are obtained. In the case of the transverse Ising chain, all the known charges are rederived, and in the case of the other models, new conserved charges are obtained.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116844"},"PeriodicalIF":2.5,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143428641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2025-02-14DOI: 10.1016/j.nuclphysb.2025.116828
Wen-Chao Dong , Zhi-Gang Wang
{"title":"Hunting for the prospective Tcc family based on the diquark-antidiquark configuration","authors":"Wen-Chao Dong , Zhi-Gang Wang","doi":"10.1016/j.nuclphysb.2025.116828","DOIUrl":"10.1016/j.nuclphysb.2025.116828","url":null,"abstract":"<div><div>Inspired by the first <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi><mi>c</mi></mrow></msub></math></span> observation at the LHCb Collaboration, the spectroscopic properties of the entire isoscalar and isovector <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi><mi>c</mi></mrow></msub></math></span> family are systematically investigated by means of multiple sorts of relativized and nonrelativistic diquark formalisms, which include the Godfrey-Isgur relativized diquark model, the modified Godfrey-Isgur relativized diquark model incorporating the color screening effects, the nonrelativistic diquark model with the Gaussian type hyperfine potential, and the nonrelativistic diquark model with the Yukawa type hyperfine potential. In terms of the 1<em>S</em>-wave double-charm tetraquark state with <span><math><mi>I</mi><mo>(</mo><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi></mrow></msup><mo>)</mo><mo>=</mo><mn>0</mn><mo>(</mo><msup><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msup><mo>)</mo></math></span>, the predicted masses of most diquark-antidiquark scenarios are somewhat higher than the observed value of the <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi><mi>c</mi></mrow></msub><msup><mrow><mo>(</mo><mn>3875</mn><mo>)</mo></mrow><mrow><mo>+</mo></mrow></msup></math></span> structure. In light of the diquark-antidiquark configuration, this work unveils the mixing angles of the orbitally excited isovector <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi><mi>c</mi></mrow></msub></math></span> states and the magic mixing angles of the ideal heavy-light tetraquarks for the first time. As the advancement of the experimental detection capability, these phenomenological predictions will effectively boost the hunting for the prospective low-lying <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi><mi>c</mi></mrow></msub></math></span> states in the future.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116828"},"PeriodicalIF":2.5,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143428642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2025-02-14DOI: 10.1016/j.nuclphysb.2025.116842
Weihu Ma (马维虎) , Yu-Gang Ma (马余刚)
{"title":"A novel framework for characterizing spacetime microstructure with scaling","authors":"Weihu Ma (马维虎) , Yu-Gang Ma (马余刚)","doi":"10.1016/j.nuclphysb.2025.116842","DOIUrl":"10.1016/j.nuclphysb.2025.116842","url":null,"abstract":"<div><div>The study of physics at the Planck scale has garnered significant attention due to its implications for understanding the fundamental nature of the universe. At the Planck scale, quantum fluctuations challenge the classical notion of spacetime as a smooth continuum, revealing a complex microstructure that defies traditional models. This study introduces a novel scaling-based framework to investigate the properties of spacetime microstructures. By deriving a scaling-characterized metric tensor and reformulating fundamental equations—including the geodesic, Einstein field, Klein-Gordon, and Dirac equations—into scaling forms, the research reveals new properties of local spacetime dynamics. Remarkably, the golden ratio emerges naturally in linear scale measurements, offering a potential explanation for the role of the Planck length in resolving ultraviolet (UV) divergence. Furthermore, the study demonstrates how scale invariance in spacetime can restore classical geometric stability through the renormalization group equations. These findings significantly revise classical geometric intuitions, providing a fresh lens for understanding quantum fluctuations and offering promising insights for advancing quantum gravity theories.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116842"},"PeriodicalIF":2.5,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2025-02-13DOI: 10.1016/j.nuclphysb.2025.116840
Aram Bahroz Brzo , Saeed Noori Gashti , B. Pourhassan , S. Beikpour
{"title":"Thermodynamic topology of AdS black holes within non-commutative geometry and Barrow entropy","authors":"Aram Bahroz Brzo , Saeed Noori Gashti , B. Pourhassan , S. Beikpour","doi":"10.1016/j.nuclphysb.2025.116840","DOIUrl":"10.1016/j.nuclphysb.2025.116840","url":null,"abstract":"<div><div>In this paper, we explore the thermodynamic topology of Schwarzschild-AdS black holes within the framework of non-commutative geometry and Barrow entropy. We provide an overview of the Schwarzschild-AdS black hole and discuss the significance of Barrow entropy. We determine the topological charges and discuss the implications of topological classifications. Key findings include the impact of the strength of the noncommutative geometry parameter <em>α</em> and deformation parameter <em>δ</em> on the number of topological charges. When <em>δ</em> raised from Barrow entropy is zero, the structure faces Bekenstein-Hawking entropy, resulting in a single topological charge <span><math><mo>(</mo><mi>ω</mi><mo>=</mo><mo>+</mo><mn>1</mn><mo>)</mo></math></span>. However, the presence of parameter <em>δ</em> leads to variations in the number of topological charges. However, with specific values of <em>α</em>, <em>δ</em> the topological charges are determined as <span><math><mo>(</mo><mi>ω</mi><mo>=</mo><mo>+</mo><mn>1</mn><mo>,</mo><mo>−</mo><mn>1</mn><mo>)</mo></math></span>. We also examine the photon spheres of the black hole for different values of the parameter <em>α</em> which showed the photon spheres with topological charge (−1), indicating the preservation of the black hole structure. These results are illustrated and summarized in various figures and tables.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116840"},"PeriodicalIF":2.5,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143420996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2025-02-13DOI: 10.1016/j.nuclphysb.2025.116834
Amit Samaddar, S. Surendra Singh
{"title":"A novel approach to baryogenesis in f(Q,Lm) gravity and its cosmological implications","authors":"Amit Samaddar, S. Surendra Singh","doi":"10.1016/j.nuclphysb.2025.116834","DOIUrl":"10.1016/j.nuclphysb.2025.116834","url":null,"abstract":"<div><div>We present an examination of the <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>,</mo><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub><mo>)</mo></math></span> gravity model, in which the functional form <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>,</mo><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub><mo>)</mo><mo>=</mo><mi>α</mi><msup><mrow><mi>Q</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>+</mo><mi>β</mi><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span> is postulated and discuss its potential impact on cosmological dynamics and the phenomenon of gravitational baryogenesis. Combining observational insights from Hubble, BAO and pantheon datasets, we conduct a comprehensive analysis to constrain the model's parameters and determine the baryon-to-entropy ratio <span><math><mfrac><mrow><msub><mrow><mi>η</mi></mrow><mrow><mi>B</mi></mrow></msub></mrow><mrow><mi>s</mi></mrow></mfrac></math></span>, providing valuable insights into the model's performance and cosmological implications. In the context of baryogenesis and generalized gravitational baryogenesis, we show that setting <span><math><mi>n</mi><mo>=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span> leads to a mathematical inconsistency due to the presence of a division by zero arising from the factor <span><math><mo>(</mo><mn>1</mn><mo>−</mo><mn>2</mn><mi>n</mi><mo>)</mo></math></span> in the denominators. By looking closely at how <span><math><mfrac><mrow><msub><mrow><mi>η</mi></mrow><mrow><mi>B</mi></mrow></msub></mrow><mrow><mi>s</mi></mrow></mfrac></math></span> changes with <em>n</em> and <em>β</em>, we show that our model predicts a baryon-to-entropy ratio that is both positive and in line with the highest value seen so far, which is <span><math><mn>9.42</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>11</mn></mrow></msup></math></span> for <span><math><mn>1.32965</mn><mo><</mo><mi>n</mi><mo><</mo><mn>1.39252</mn></math></span>, and this value is right for both <em>β</em> and <em>n</em>, with <span><math><mi>α</mi><mo>≃</mo><mo>−</mo><mn>1.95084</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>86</mn></mrow></msup></math></span>. The excellent agreement between our model's predictions and the pantheon dataset demonstrates the model's capacity to accurately describe the physics of baryogenesis and its ability to reproduce the observed features of the cosmological data, showcasing its potential as a reliable tool for understanding the evolution of the Universe.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116834"},"PeriodicalIF":2.5,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143420998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2025-02-12DOI: 10.1016/j.nuclphysb.2025.116837
Bidyut Hazarika , Prabwal Phukon
{"title":"Topology of restricted phase space thermodynamics in Kerr-Sen-Ads black holes","authors":"Bidyut Hazarika , Prabwal Phukon","doi":"10.1016/j.nuclphysb.2025.116837","DOIUrl":"10.1016/j.nuclphysb.2025.116837","url":null,"abstract":"<div><div>In this study, we investigate the thermodynamic topology of the Kerr-Sen-Ads black hole in restricted phase space. In the restricted phase space, a new parameter, central charge <em>C</em>, and its conjugate parameter <em>μ</em> are introduced, omitting the well-known <em>PdV</em> term in the first law of black hole thermodynamics. We study the local and global topology of the black hole by considering the black hole solution as topological defects in the free energy landscape. We compute the winding number and the total topological number at the thermodynamic defects. For our analysis, we have considered five ensembles of Kerr-Sen-Ads black holes in restricted phase space: fixed <span><math><mo>(</mo><mi>Q</mi><mo>,</mo><mi>J</mi><mo>,</mo><mi>C</mi><mo>)</mo></math></span>, fixed <span><math><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>J</mi><mo>,</mo><mi>C</mi><mo>)</mo></math></span>, fixed <span><math><mo>(</mo><mi>Q</mi><mo>,</mo><mi>Ω</mi><mo>,</mo><mi>C</mi><mo>)</mo></math></span>, fixed <span><math><mo>(</mo><mi>Q</mi><mo>,</mo><mi>J</mi><mo>,</mo><mi>μ</mi><mo>)</mo></math></span>, and fixed <span><math><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>Ω</mi><mo>,</mo><mi>C</mi><mo>)</mo></math></span>, where <em>Q</em> is the electric charge, <em>J</em> is the angular momentum, <em>C</em> is the central charge, <em>ϕ</em> is the electric potential conjugate to charge, Ω is the angular frequency conjugate to <em>J</em>, and finally, <em>μ</em> is the chemical potential. In the fixed <span><math><mo>(</mo><mi>Q</mi><mo>,</mo><mi>J</mi><mo>,</mo><mi>C</mi><mo>)</mo></math></span>, fixed <span><math><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>J</mi><mo>,</mo><mi>C</mi><mo>)</mo></math></span>, and fixed <span><math><mo>(</mo><mi>Q</mi><mo>,</mo><mi>J</mi><mo>,</mo><mi>μ</mi><mo>)</mo></math></span> ensembles, we find a topological charge of +1. In the fixed <span><math><mo>(</mo><mi>Q</mi><mo>,</mo><mi>Ω</mi><mo>,</mo><mi>C</mi><mo>)</mo></math></span> and fixed <span><math><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>Ω</mi><mo>,</mo><mi>C</mi><mo>)</mo></math></span> ensembles, depending on the values of the thermodynamic parameters, we find topological charges of −1, 0, and +1. Interestingly, in ensembles where we find the topological charge to be 0, we observe both Hawking-Page and Davies type phase transitions. We show that both types of these phase transitions can be studied using a common vector field, and the topological charges associated with Davies type and Hawking-Page phase transitions are −1 and +1, respectively.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116837"},"PeriodicalIF":2.5,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143403410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2025-02-11DOI: 10.1016/j.nuclphysb.2025.116839
Yu.M. Zinoviev
{"title":"On the Fradkin-Vasiliev formalism in d = 4","authors":"Yu.M. Zinoviev","doi":"10.1016/j.nuclphysb.2025.116839","DOIUrl":"10.1016/j.nuclphysb.2025.116839","url":null,"abstract":"<div><div>Here we discuss the general properties of the Fradkin-Vasiliev formalism for constructing higher spin cubic interactions. Initially, it was formulated only for massless fields, but later its application was extended to systems of both massless and massive (partially massless) fields. We restrict our discussion to <span><math><mi>d</mi><mo>=</mo><mn>4</mn></math></span>, not only for technical reasons (such as the use of multispinor formalism), but mainly because the classification of cubic vertices in <span><math><mi>d</mi><mo>=</mo><mn>4</mn></math></span> differs drastically from that in higher dimensions.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116839"},"PeriodicalIF":2.5,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143403411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}