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• W3100404017 abstract "We extend the localization calculation of the 3D Chern-Simons partition function over Seifert manifolds to an analogous calculation in five dimensions. We construct a twisted version of N=1 supersymmetric Yang-Mills theory defined on a circle bundle over a four dimensional symplectic manifold. The notion of contact geometry plays a crucial role in the construction and we suggest a generalization of the instanton equations to five dimensional contact manifolds. Our main result is a calculation of the full perturbative partition function on a five sphere for the twisted supersymmetric Yang-Mills theory with different Chern-Simons couplings. The final answer is given in terms of a matrix model. Our construction admits generalizations to higher dimensional contact manifolds. This work is inspired by the work of Baulieu-Losev-Nekrasov from the mid 90's, and in a way it is covariantization of their ideas for a contact manifold." @default.
• W3100404017 created "2020-11-23" @default.
• W3100404017 creator A5042585304 @default.
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• W3100404017 date "2012-05-01" @default.
• W3100404017 modified "2023-10-17" @default.
• W3100404017 title "Twisted supersymmetric 5D Yang-Mills theory and contact geometry" @default.
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• W3100404017 doi "https://doi.org/10.1007/jhep05(2012)125" @default.
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