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 Y2M, where g YM 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. © SISSA 2012.
CITATION STYLE
Källén, J., Qiu, J., & Zabzine, M. (2012). The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere. Journal of High Energy Physics, 2012(8). https://doi.org/10.1007/JHEP08(2012)157
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