Cardy formulae for SUSY theories in \(d = 4\) and \(d= 6\)
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Publication:271556
DOI10.1007/JHEP12(2014)031zbMATH Open1390.81586arXiv1407.6061OpenAlexW2032273965MaRDI QIDQ271556
Author name not available (Why is that?)
Publication date: 7 April 2016
Published in: (Search for Journal in Brave)
Abstract: We consider supersymmetric theories on a space with compact space-like slices. One can count BPS representations weighted by (-1)^F, or, equivalently, study supersymmetric partition functions by compactifying the time direction. A special case of this general construction corresponds to the counting of short representations of the superconformal group. We show that in four-dimensional N=1 theories the "high temperature" asymptotics of such counting problems is fixed by the anomalies of the theory. Notably, the combination a-c of the trace anomalies plays a crucial role. We also propose similar formulae for six-dimensional (1,0) theories.
Full work available at URL: https://arxiv.org/abs/1407.6061
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