Cardy formulae for SUSY theories in d = 4 and d = 6

By L. Pietro, Z. Komargodski. 2014

183 citations recorded by the source corpus.

A bstractWe 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$$ \mathcal{N}=1 $$ 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/961e32b851b95091971ef02f1b8d59d1370a7120

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In Nuclear and High Energy Physics

Citations in the corpus

Top down approach to 6D SCFTs (2018, background): “n according to these two special cases. 9.3.1 The Background S1 S5 Before turning to specic theories, let us discuss what can be extracted from general principles alone. One general feature found in [185] relies on some (mild) assumptions pertaining 83 to supersymmetric backgrounds in ve and six dim”
On the superconformal index of Argyres–Douglas theories (2015, background): “25) [43] which have the effect of shifting the R-symmetry.”
The Casimir energy in curved space and its supersymmetric counterpart (2015, methodology): “This is similar to the arguments in [26] (and references therein).”
Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes (2018, result): “In the n = 0 situation analyzed in these papers, it was important for consistency with the β → 0 limit [60] that the factor Ψ 2 does not contain the second and third terms, and indeed the two-step regularization was consistent with that requirement.”
Adiabatic hydrodynamics: the eightfold way to dissipation (2015, background): “62 The supersymmetric cousins of HV play a crucial role in the recent proposals for Cardy-like formulae applicable to supersymmetric partition functions [76].”
Causality constraints on corrections to the graviton three-point coupling (2014, background): “In the supersymmetric case, a − c was argued to control asymptotic density of BPS operators in [67].”
N$$ \mathcal{N} $$ = 1 supersymmetric indices and the four-dimensional A-model (2017, background): “It has been argued, on general grounds, that the M3 × S1 supersymmetric partition function has a small-β limit governed by the mixed flavor- and R-gravitational anomalies [68].”