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arXiv · 1206.6008

The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere

Johan Kallen·Jian Qiu·Maxim Zabzine
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Abstract

Based on the construction by Hosomichi, Seong and Terashima we consider N=1 supersymmetric 5D Yang-Mills theory with matter on a five-sphere with radius r. This theory can be thought of as a deformation of the theory in flat space with deformation parameter r and this deformation preserves 8 supercharges. We calculate the full perturbative partition function as a function of r/g^2, where g is the Yang-Mills coupling, and the answer is given in terms of a matrix model. We perform the calculation using localization techniques. We also argue that in the large N-limit of this deformed 5D Yang-Mills theory this matrix model provides the leading contribution to the partition function and the rest is exponentially suppressed.

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Johan Kallen, Jian Qiu, Maxim Zabzine. 2013-06-04. The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere. https://doi.org/10.1007/jhep08(2012)157

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