Abstract
We present a general prescription by which we can systematically compute exact partition functions of five-dimensional supersymmetric theories which arise in Higgs branches of the T N theory. The theories may be realised by webs of 5-branes whose dual geometries are non-toric. We have checked our method by calculating the partition functions of the theories realised in various Higgs branches of the T 3 theory. A particularly interesting example is the E 8 theory which can be obtained by Higgsing the T 6 theory. We explicitly compute the partition function of the E 8 theory and find agreement with the field theory result as well as enhancement of the global symmetry to E 8.
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Hayashi, H., Zoccarato, G. Exact partition functions of Higgsed 5d T N theories. J. High Energ. Phys. 2015, 93 (2015). https://doi.org/10.1007/JHEP01(2015)093
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DOI: https://doi.org/10.1007/JHEP01(2015)093