The exact superconformal R-symmetry extremizes Z
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Publication:332310
DOI10.1007/JHEP05(2012)159zbMATH Open1348.81420arXiv1012.3210OpenAlexW3098241143MaRDI QIDQ332310
Author name not available (Why is that?)
Publication date: 7 November 2016
Published in: (Search for Journal in Brave)
Abstract: The three sphere partition function, Z, of three dimensional theories with four supercharges and an R-symmetry is computed using localization, resulting in a matrix integral over the Cartan of the gauge group. There is a family of couplings to the curved background, parameterized by a choice of R-charge, such that supersymmetry is preserved; Z is a function of those parameters. The magnitude of the result is shown to be extremized for the superconformal R-charge of the infrared conformal field theory, in the absence of mixing of the R-symmetry with accidental symmetries. This exactly determines the IR superconformal R-charge.
Full work available at URL: https://arxiv.org/abs/1012.3210
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