发布求助
文献互助 智能选刊 最新文献

Symmetry Integrability and Geometry-Methods and Applications最新文献

筛选
英文 中文
A Skyrme Model with Novel Chiral Symmetry Breaking 具有新型手性对称性破缺的Skyrme模型
IF 0.9 3区 物理与天体物理
Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2023-01-08 DOI: 10.3842/SIGMA.2023.051
P. Sutcliffe
{"title":"A Skyrme Model with Novel Chiral Symmetry Breaking","authors":"P. Sutcliffe","doi":"10.3842/SIGMA.2023.051","DOIUrl":"https://doi.org/10.3842/SIGMA.2023.051","url":null,"abstract":"An extension of the Skyrme model is presented in which derivative terms are added that break chiral symmetry to isospin symmetry. The theory contains just one new parameter and it reduces to the standard Skyrme model when this symmetry breaking parameter vanishes. The same Faddeev-Bogomolny energy bound applies for all parameter values, but the parameter can be tuned so that the energy of the single Skyrmion is much closer to the bound than in the standard Skyrme model. Applying the rational map approximation to multi-Skyrmions suggests that, for a suitable value of the symmetry breaking parameter, binding energies in this theory may be significantly more realistic than in the standard Skyrme model.","PeriodicalId":49453,"journal":{"name":"Symmetry Integrability and Geometry-Methods and Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46700573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via $U_{mathfrak{q}}mathfrak{sl}_2$ Symmetry 具有非对角边界项的开放XXZ自旋链的$U_{mathfrak{q}}mathfrak{sl}_2$对称性的代数分析
IF 0.9 3区 物理与天体物理
Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-12-19 DOI: 10.3842/SIGMA.2023.046
Dmitry Chernyak, A. Gainutdinov, J. Jacobsen, H. Saleur
{"title":"Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via $U_{mathfrak{q}}mathfrak{sl}_2$ Symmetry","authors":"Dmitry Chernyak, A. Gainutdinov, J. Jacobsen, H. Saleur","doi":"10.3842/SIGMA.2023.046","DOIUrl":"https://doi.org/10.3842/SIGMA.2023.046","url":null,"abstract":"We derive by the traditional algebraic Bethe ansatz method the Bethe equations for the general open XXZ spin chain with non-diagonal boundary terms under the Nepomechie constraint [J. Phys. A 37 (2004), 433-440, arXiv:hep-th/0304092]. The technical difficulties due to the breaking of $mathsf{U}(1)$ symmetry and the absence of a reference state are overcome by an algebraic construction where the two-boundary Temperley-Lieb Hamiltonian is realised in a new $U_{mathfrak{q}}mathfrak{sl}_2$-invariant spin chain involving infinite-dimensional Verma modules on the edges [J. High Energy Phys. 2022 (2022), no. 11, 016, 64 pages, arXiv:2207.12772]. The equivalence of the two Hamiltonians is established by proving Schur-Weyl duality between $U_{mathfrak{q}}mathfrak{sl}_2$ and the two-boundary Temperley-Lieb algebra. In this framework, the Nepomechie condition turns out to have a simple algebraic interpretation in terms of quantum group fusion rules.","PeriodicalId":49453,"journal":{"name":"Symmetry Integrability and Geometry-Methods and Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46274971","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
CYT and SKT Metrics on Compact Semi-Simple Lie Groups 紧致半单李群上的CYT和SKT度量
IF 0.9 3区 物理与天体物理
Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-12-15 DOI: 10.3842/SIGMA.2023.028
A. Fino, G. Grantcharov
{"title":"CYT and SKT Metrics on Compact Semi-Simple Lie Groups","authors":"A. Fino, G. Grantcharov","doi":"10.3842/SIGMA.2023.028","DOIUrl":"https://doi.org/10.3842/SIGMA.2023.028","url":null,"abstract":"A Hermitian metric on a complex manifold $(M, I)$ of complex dimension $n$ is called Calabi-Yau with torsion (CYT) or Bismut-Ricci flat, if the restricted holonomy of the associated Bismut connection is contained in ${rm SU}(n)$ and it is called strong K\"ahler with torsion (SKT) or pluriclosed if the associated fundamental form $F$ is $partial overline partial$-closed. In the paper we study the existence of left-invariant SKT and CYT metrics on compact semi-simple Lie groups endowed with a Samelson complex structure $I$. In particular, we show that if $I$ is determined by some maximal torus $T$ and $g$ is a left-invariant Hermitian metric, which is also invariant under the right action of the torus $T$, and is both CYT and SKT, then $g$ has to be Bismut flat.","PeriodicalId":49453,"journal":{"name":"Symmetry Integrability and Geometry-Methods and Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47564204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
anar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials anar正交多项式为I型多重正交多项式
IF 0.9 3区 物理与天体物理
Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-12-13 DOI: 10.3842/SIGMA.2023.020
S. Berezin, A. Kuijlaars, Iv'an Parra
{"title":"anar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials","authors":"S. Berezin, A. Kuijlaars, Iv'an Parra","doi":"10.3842/SIGMA.2023.020","DOIUrl":"https://doi.org/10.3842/SIGMA.2023.020","url":null,"abstract":"A recent result of S.-Y. Lee and M. Yang states that the planar orthogonal polynomials orthogonal with respect to a modified Gaussian measure are multiple orthogonal polynomials of type II on a contour in the complex plane. We show that the same polynomials are also type I orthogonal polynomials on a contour, provided the exponents in the weight are integer. From this orthogonality, we derive several equivalent Riemann-Hilbert problems. The proof is based on the fundamental identity of Lee and Yang, which we establish using a new technique.","PeriodicalId":49453,"journal":{"name":"Symmetry Integrability and Geometry-Methods and Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46415975","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Double Quiver Gauge Theory and BPS/CFT Correspondence 双Quiver规范理论与BPS/CFT对应
IF 0.9 3区 物理与天体物理
Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-12-07 DOI: 10.3842/SIGMA.2023.039
Taro Kimura
{"title":"Double Quiver Gauge Theory and BPS/CFT Correspondence","authors":"Taro Kimura","doi":"10.3842/SIGMA.2023.039","DOIUrl":"https://doi.org/10.3842/SIGMA.2023.039","url":null,"abstract":"We provide a formalism using the q-Cartan matrix to compute the instanton partition function of quiver gauge theory on various manifolds. Applying this formalism to eight dimensional setups, we introduce the notion of double quiver gauge theory characterized by a pair of quivers. We also explore the BPS/CFT correspondence in eight dimensions based on the q-Cartan matrix formalism.","PeriodicalId":49453,"journal":{"name":"Symmetry Integrability and Geometry-Methods and Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46471639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy Toeplitz行列式与离散PainlevéII族的递归关系
IF 0.9 3区 物理与天体物理
Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-11-30 DOI: 10.3842/SIGMA.2023.030
Thomas Chouteau, Sofia Tarricone
{"title":"Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy","authors":"Thomas Chouteau, Sofia Tarricone","doi":"10.3842/SIGMA.2023.030","DOIUrl":"https://doi.org/10.3842/SIGMA.2023.030","url":null,"abstract":"Solutions of the discrete Painlevé II hierarchy are shown to be in relation with a family of Toeplitz determinants describing certain quantities in multicritical random partitions models, for which the limiting behavior has been recently considered in the literature. Our proof is based on the Riemann-Hilbert approach for the orthogonal polynomials on the unit circle related to the Toeplitz determinants of interest. This technique allows us to construct a new Lax pair for the discrete Painlevé II hierarchy that is then mapped to the one introduced by Cresswell and Joshi.","PeriodicalId":49453,"journal":{"name":"Symmetry Integrability and Geometry-Methods and Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45557967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Seven Concepts Attributed to Siméon-Denis Poisson 西蒙-丹尼斯·泊松的七个概念
IF 0.9 3区 物理与天体物理
Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-11-29 DOI: 10.3842/SIGMA.2022.092
Y. Kosmann-Schwarzbach
{"title":"Seven Concepts Attributed to Siméon-Denis Poisson","authors":"Y. Kosmann-Schwarzbach","doi":"10.3842/SIGMA.2022.092","DOIUrl":"https://doi.org/10.3842/SIGMA.2022.092","url":null,"abstract":"Siméon-Denis Poisson was 25 years old when he was appointed Professor of Mathematics at the École Polytechnique in 1806. Elected to the Paris Académie des Sciences six years later, he soon became one of its most influential members. The origin and later developments of the many concepts in mathematics and physics that bear his name make interesting stories, a few of which we shall attempt to sketch in this paper.","PeriodicalId":49453,"journal":{"name":"Symmetry Integrability and Geometry-Methods and Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41646585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Index Theory of Chiral Unitaries and Split-Step Quantum Walks 手性酉和分步量子行走的指标理论
IF 0.9 3区 物理与天体物理
Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-11-19 DOI: 10.3842/SIGMA.2023.053
C. Bourne
{"title":"Index Theory of Chiral Unitaries and Split-Step Quantum Walks","authors":"C. Bourne","doi":"10.3842/SIGMA.2023.053","DOIUrl":"https://doi.org/10.3842/SIGMA.2023.053","url":null,"abstract":"Building from work by Cedzich et al. and Suzuki et al., we consider topological and index-theoretic properties of chiral unitaries, which are an abstraction of the time evolution of a chiral-symmetric self-adjoint operator. Split-step quantum walks provide a rich class of examples. We use the index of a pair of projections and the Cayley transform to define topological indices for chiral unitaries on both Hilbert spaces and Hilbert $C^*$-modules. In the case of the discrete time evolution of a Hamiltonian-like operator, we relate the index for chiral unitaries to the index of the Hamiltonian. We also prove a double-sided winding number formula for anisotropic split-step quantum walks on Hilbert $C^*$-modules, extending a result by Matsuzawa.","PeriodicalId":49453,"journal":{"name":"Symmetry Integrability and Geometry-Methods and Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42333706","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Stable Kink-Kink and Metastable Kink-Antikink Solutions 稳定扭结和亚稳态扭结反扭结解决方案
IF 0.9 3区 物理与天体物理
Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-11-04 DOI: 10.3842/SIGMA.2023.034
C. Halcrow, E. Babaev
{"title":"Stable Kink-Kink and Metastable Kink-Antikink Solutions","authors":"C. Halcrow, E. Babaev","doi":"10.3842/SIGMA.2023.034","DOIUrl":"https://doi.org/10.3842/SIGMA.2023.034","url":null,"abstract":"We construct and study two kink theories. One contains a static 2-kink configuration with controllable binding energy. The other contains a locally stable non-topological solution, which we call a lavion. The new models are 1D analogs of non-integrable systems in higher dimensions such as the Skyrme model and realistic vortex systems. To help construct the theories, we derive a simple expression for the interaction energy between two kinks.","PeriodicalId":49453,"journal":{"name":"Symmetry Integrability and Geometry-Methods and Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49646965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
A Note on Coupled Dirac Operators 关于耦合狄拉克算子的一个注记
IF 0.9 3区 物理与天体物理
Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-10-31 DOI: 10.3842/SIGMA.2023.003
N. Hitchin
{"title":"A Note on Coupled Dirac Operators","authors":"N. Hitchin","doi":"10.3842/SIGMA.2023.003","DOIUrl":"https://doi.org/10.3842/SIGMA.2023.003","url":null,"abstract":"The article considers some concrete solutions to the Dirac equation coupled to a vector bundle with connection, arising in the study of Yang-Mills equations and vector bundles on Riemann surfaces.","PeriodicalId":49453,"journal":{"name":"Symmetry Integrability and Geometry-Methods and Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44245544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信