Exact partition functions of Higgsed 5d $T_N$ theories

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 realized by webs of 5-branes whose dual geometries are non-toric. We have checked our method by calculating the partition functions of the theories realized 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 the agreement with the field theory result as well as the enhancement of the global symmetry to $E_8$.

54 pages, 13 figures, v2. added an appendix and minor changes in the main text, version accepted on JHEP

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• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Surface Operator, Bubbling Calabi-Yau and AGT Relation
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Cited by in corpus (5)

• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Fiber-Base Duality and Global Symmetry Enhancement
• Mass-deformed $T_N$ as a linear quiver
• Equivalence of several descriptions for 6d SCFT
• Rank-3 antisymmetric matter on 5-brane webs