Ciência-IUL
Publicações
Descrição Detalhada da Publicação
Five-dimensional cohomological localization and squashed q-deformations of two-dimensional Yang-Mills theory
Título Revista
Journal of High Energy Physics
Ano (publicação definitiva)
2020
Língua
Inglês
País
Estados Unidos da América
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Abstract/Resumo
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).
Agradecimentos/Acknowledgements
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Palavras-chave
Field theories in higher dimensions,Field theories in lower dimensions,Supersymmetric gauge theory,Differential and algebraic geometry
Classificação Fields of Science and Technology
- Ciências Físicas - Ciências Naturais
Registos de financiamentos
Referência de financiamento | Entidade Financiadora |
---|---|
SFRH/BD/129405/2017 | Fundação para a Ciência e a Tecnologia |
PTDC/MAT-PUR/30234/2017 | Fundação para a Ciência e a Tecnologia |
ST/P000363/1 | Science & Technology Facilities Council (STFC) |