Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/20609
Author(s): | Santilli, L. Szabo, R. J. Tierz, M. |
Date: | 2020 |
Title: | Five-dimensional cohomological localization and squashed q-deformations of two-dimensional Yang-Mills theory |
Volume: | 2020 |
Number: | 6 |
ISSN: | 1126-6708 |
DOI (Digital Object Identifier): | 10.1007/JHEP06(2020)036 |
Keywords: | Field theories in higher dimensions Field theories in lower dimensions Supersymmetric gauge theory Differential and algebraic geometry |
Abstract: | We revisit the duality between five-dimensional supersymmetric gauge theories and deformations of two-dimensional Yang-Mills theory from a new perspective. We give a unified treatment of supersymmetric gauge theories in three and five dimensions using cohomological localization techniques and the Atiyah-Singer index theorem. We survey various known results in a unified framework and provide simplified derivations of localiza- tion formulas, as well as various extensions including the case of irregular Seifert fibrations. We describe the reductions to four-dimensional gauge theories, and give an extensive de- scription of the dual two-dimensional Yang-Mills theory when the three-dimensional part of the geometry is a squashed three-sphere, including its extension to non-zero area, and a detailed analysis of the resulting matrix model. The squashing parameter b yields a fur- ther deformation of the usual q-deformation of two-dimensional Yang-Mills theory, which for rational values b2 = p/s yields a new correspondence with Chern-Simons theory on lens spaces L(p, s). |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
File | Description | Size | Format | |
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Santilli2020_Article_Five-dimensionalCohomologicalL.pdf | Versão Editora | 846,36 kB | Adobe PDF | View/Open |
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