Elliptic genera of pure gauge theories in two dimensions with semisimple non-simply-connected gauge groups
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Publication:2231682
DOI10.1007/S00220-021-04189-6zbMATH Open1481.14065arXiv2009.03907OpenAlexW3188911449MaRDI QIDQ2231682
Author name not available (Why is that?)
Publication date: 30 September 2021
Published in: (Search for Journal in Brave)
Abstract: In this paper we describe a systematic method to compute elliptic genera of (2,2) supersymmetric gauge theories in two dimensions with gauge group G/Gamma (for G semisimple and simply-connected, Gamma a subgroup of the center of G) with various discrete theta angles. We apply the technique to examples of pure gauge theories with low-rank gauge groups. Our results are consistent with expectations from decomposition of two-dimensional theories with finite global one-form symmetries and with computations of supersymmetry breaking for some discrete theta angles in pure gauge theories. Finally, we make predictions for the elliptic genera of all the other remaining pure gauge theories by applying decomposition and matching to known supersymmetry breaking patterns.
Full work available at URL: https://arxiv.org/abs/2009.03907
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