Twisted supersymmetric 5D Yang-Mills theory and contact geometry
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Publication:332303
DOI10.1007/JHEP05(2012)125zbMATH Open1348.81319arXiv1202.1956OpenAlexW3100404017MaRDI QIDQ332303
Author name not available (Why is that?)
Publication date: 7 November 2016
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1202.1956
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