{"title":"Noncommutative spaces and superspaces from Snyder and Yang type models","authors":"J. Lukierski, M. Woronowicz","doi":"10.22323/1.406.0290","DOIUrl":"https://doi.org/10.22323/1.406.0290","url":null,"abstract":"The relativistic 𝐷 = 4 Snyder model is formulatedin terms of 𝐷 = 4 𝑑𝑆 algebra 𝑜 ( 4 , 1 ) generators, with noncommutative Lorentz-invariant Snyder quantum space-time provided by 𝑂 ( 4 , 1 ) 𝑂 ( 3 , 1 ) coset generators. Analogously, in relativistic 𝐷 = 4 Yang models the quantum-deformed relativistic phase space is described by the algebras of coset generators 𝑂 ( 5 , 1 ) 𝑂 ( 3 , 1 ) or 𝑂 ( 4 , 2 ) 𝑂 ( 3 , 1 ) . We extend these algebraic considerations by using respective 𝑑𝑆 superalgebras, which provide Lorentz-covariant quantum superspaces (SUSY Snyder model) as well as relativistic quantum phase super spaces (SUSY Yang model).","PeriodicalId":131792,"journal":{"name":"Proceedings of Corfu Summer Institute 2021 \"School and Workshops on Elementary Particle Physics and Gravity\" — PoS(CORFU2021)","volume":"80 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116182746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"New results in AdS/CFT in low dimensions from massive Type IIA","authors":"Y. Lozano, Nicolò Petri, Anayeli Ramirez","doi":"10.22323/1.406.0162","DOIUrl":"https://doi.org/10.22323/1.406.0162","url":null,"abstract":"We review recent developments in the study of the AdS/CFT correspondence in low dimensions, focusing on the construction of AdS 3 /CFT 2 and AdS 2 /CFT 1 dual pairs in massive Type IIA string theory. We start discussing the AdS 3 × 𝑆 2 × CY 2 × 𝐼 solutions to massive IIA supergravity with N = ( 0 , 4 ) supersymmetry constructed in [1]. We review the 2d CFTs dual to these solutions, together with their defect interpretation as surface defects within 5d fixed point theories living in D4-D8 bound states. Next, we discuss the AdS 2 × 𝑆 3 × CY 2 × 𝐼 solutions with N = 4 supersymmetry constructed in [2]. We discuss the superconformal quantum mechanics dual to these solutions, that we interpret in terms of line defects realised as D0-D4 baryon vertices in 5d Sp(N) fixed point theories. We review a particular example in this class of solutions, constructed through non-Abelian T-duality with respect to a non-compact isometry group, and discuss the possible embedding of a 3d black hole geometry constructed long ago via non-Abelian T-duality within this solution.","PeriodicalId":131792,"journal":{"name":"Proceedings of Corfu Summer Institute 2021 \"School and Workshops on Elementary Particle Physics and Gravity\" — PoS(CORFU2021)","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123545582","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"IR Constraints on Gyromagnetic Ratios","authors":"R. Marotta, Mritunjay Verma","doi":"10.22323/1.406.0203","DOIUrl":"https://doi.org/10.22323/1.406.0203","url":null,"abstract":"In Bosonic, Heterotic and Type II theories, by employing soft theorems and string techniques, we analyze the gyromagnetic ratios of massive high spin particles coupled to Abelian gauge fields arising from the compactification of the metric and Kalb-Ramond fields. We derive a universal form for such couplings showing that mixed symmetry states of the leading Regge-trajectory, described by a Young-tableau with two rows, have a gyromagnetic ratio associated with each row.","PeriodicalId":131792,"journal":{"name":"Proceedings of Corfu Summer Institute 2021 \"School and Workshops on Elementary Particle Physics and Gravity\" — PoS(CORFU2021)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121255002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Constraining extended scalar sectors at current and future colliders","authors":"T. Robens","doi":"10.22323/1.406.0031","DOIUrl":"https://doi.org/10.22323/1.406.0031","url":null,"abstract":"In this proceeding, I summarize results on various new physics extensions of the Standard Model, for models with and without dark matter candidates. I discuss current constraints as well as rates and discovery prospects at future colliders.","PeriodicalId":131792,"journal":{"name":"Proceedings of Corfu Summer Institute 2021 \"School and Workshops on Elementary Particle Physics and Gravity\" — PoS(CORFU2021)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121045019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kieran Finn, Viola Gattus, S. Karamitsos, A. Pilaftsis
{"title":"Geometrising the Micro-Cosmos on a Supermanifold","authors":"Kieran Finn, Viola Gattus, S. Karamitsos, A. Pilaftsis","doi":"10.22323/1.406.0080","DOIUrl":"https://doi.org/10.22323/1.406.0080","url":null,"abstract":"For more than half a century, covariant and differential geometric methods have been playing a central role in the development of Quantum Field Theory (QFT). After a brief historic overview of the major scientific achievements using these methods, we will focus on the covariant and differential geometric formalism originally proposed by Vilkovisky and DeWitt (VDW). We discuss recent developmentsmade in addressing the uniqueness of the path-integral measure of the VDW effective action, and so address the problem of quantum frame dependence in cosmologically relevant scalar-tensor theories beyond the classical approximation. Particular attention will be drawn to a long-standing problem concerning the obstacles that the VDW formalism was facing from its original conception in describing generic QFTs that include fermions. We show how in addition to bosons the VDW effective action can be extended to supermanifolds to include fermions. The so-extended formulationappears to be very promising for a complete geometrisation of realistic theories of micro-cosmos, such as the Standard Model and its gravitational sector.","PeriodicalId":131792,"journal":{"name":"Proceedings of Corfu Summer Institute 2021 \"School and Workshops on Elementary Particle Physics and Gravity\" — PoS(CORFU2021)","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131994262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Wavefunctionals/S-matrix techniques in de Sitter","authors":"P. Benincasa","doi":"10.22323/1.406.0358","DOIUrl":"https://doi.org/10.22323/1.406.0358","url":null,"abstract":"Flat-space physics is highly constrained by basic principles such as Lorentz invariance, locality, unitarity and causality. This is neatly seen in the structure of scattering amplitudes. For processes occurring in an expanding background we do not have the same level of understanding, not even in the case of de Sitter space. In this talk I provide a brief account of some of the recent efforts which aim to fill this gap. I will discuss some novel results in the understanding of the analytic structure of the Bunch-Davies wavefunction(al) of the universe in the perturbative regime, some fundamental constraints that it ought to satisfy as well as some general insights coming from an underlying combinatorial structure.","PeriodicalId":131792,"journal":{"name":"Proceedings of Corfu Summer Institute 2021 \"School and Workshops on Elementary Particle Physics and Gravity\" — PoS(CORFU2021)","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122645398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"$tau_{B_c}$ in the Standard Model","authors":"Jason Aebischer, B. Grinstein","doi":"10.22323/1.406.0055","DOIUrl":"https://doi.org/10.22323/1.406.0055","url":null,"abstract":"The Standard Model prediction of the Bc lifetime is discussed, together with the dominant uncertainties and strategies on how to improve them. Furthermore, a new method to compute the Bc lifetime based on the operator product expansion is proposed. It relies on differences of B, D and Bc meson decay rates, in which the free-quark contributions cancel out, reducing the uncertainty of the theory prediction.","PeriodicalId":131792,"journal":{"name":"Proceedings of Corfu Summer Institute 2021 \"School and Workshops on Elementary Particle Physics and Gravity\" — PoS(CORFU2021)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131798159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Emergence of classical spacetimes in canonical tensor model","authors":"N. Sasakura","doi":"10.22323/1.406.0264","DOIUrl":"https://doi.org/10.22323/1.406.0264","url":null,"abstract":"We study the wave function of a tensor model in the canonical formalism by Hamiltonian Monte Carlo method for Lie group symmetric or nearby values for the argument of the wave function, and show that there emerge Lie-group symmetric semi-classical spacetimes. More precisely, we consider some 𝑆𝑂 ( 𝑛 + 1 ) ( 𝑛 = 1 , 2 , 3 ) symmetric values for the tensor argument of the wave function, and show that there emerge discrete 𝑛 -dimensional spheres. A key fact is that there exist two phases, the classical phase and the quantum phase, depending on the values of the argument of the wave function, and emergence of classical spaces above occurs in the former phase, while fluctuations of configurations are too large for such emergence in the latter phase. The transition between the two phases has similarity with the Gross-Witten-Wadia transition, or that between the one-cut and the two-cut solutions in the matrix model. Based on the results, we give some speculations on how spacetimes evolve in the tensor model.","PeriodicalId":131792,"journal":{"name":"Proceedings of Corfu Summer Institute 2021 \"School and Workshops on Elementary Particle Physics and Gravity\" — PoS(CORFU2021)","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121543317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"IIB matrix model, bosonic master field, and emergent spacetime","authors":"F. Klinkhamer","doi":"10.22323/1.406.0259","DOIUrl":"https://doi.org/10.22323/1.406.0259","url":null,"abstract":"The IIB matrix model has been suggested as a particular formulation of nonperturbative superstring theory (M-theory). It has now been realized that an emerging classical spacetime may reside in its large-$N$ master field. This bosonic master field can, in principle, give rise to Minkowski and Robertson-Walker spacetimes. The outstanding task is to solve the bosonic master-field equation, which is essentially an algebraic equation. In this article, we present new results for the $(D,,N)=(10,,4)$ bosonic master-field equation of the IIB matrix model, where $D$ is the number of bosonic matrices and $N$ the matrix size. We also give, in a self-contained appendix, explicit results for critical points of the effective bosonic action. The main physics application of the (dimensionless) IIB matrix model may be in providing a (conformal) phase that replaces the Friedmann big bang singularity.","PeriodicalId":131792,"journal":{"name":"Proceedings of Corfu Summer Institute 2021 \"School and Workshops on Elementary Particle Physics and Gravity\" — PoS(CORFU2021)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123962172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"De Sitter, gravitino mass and the swampland","authors":"N. Cribiori","doi":"10.22323/1.406.0200","DOIUrl":"https://doi.org/10.22323/1.406.0200","url":null,"abstract":"In this contribution, we review a general argument showing that de Sitter critical points of extended supergravity are in tension with the magnetic weak gravity conjecture if the gravitino mass is vanishing. Motivated by this assumption, we review then the gravitino conjecture, which states that the limit of vanishing gravitino mass is pathological for the effective field theory description. Finally, we discuss more in general the fate of de Sitter critical points (with massless gravitini) in supergravity and comment on extensions of these works along various directions. Part of the material here presented is unpublished.","PeriodicalId":131792,"journal":{"name":"Proceedings of Corfu Summer Institute 2021 \"School and Workshops on Elementary Particle Physics and Gravity\" — PoS(CORFU2021)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129739327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}