Exact partition functions of Higgsed 5d TN theories

A bstract 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 chec...

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Bibliographic Details
Published in:The journal of high energy physics 2015-01, Vol.2015 (1)
Main Authors: Hayashi, Hirotaka, Zoccarato, Gianluca
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract 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 .
ISSN:1029-8479
DOI:10.1007/JHEP01(2015)093