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

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arxiv 1206.6008 v3 pith:RM7UO2B5 submitted 2012-06-26 hep-th

classification hep-th
keywords theoryfunctionyang-millsdeformationpartitionfive-spherematrixmatter
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 3 Pith papers

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