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Published April 2020 | Published + Submitted
Journal Article Open

Trialities of minimally supersymmetric 2d gauge theories

Abstract

We study dynamics of two-dimensional N = (0, 1) supersymmetric gauge theories. In particular, we propose that there is an infrared triality between certain triples of theories with orthogonal and symplectic gauge groups. The proposal is supported by matching of anomalies and elliptic genera. This triality can be viewed as a (0, 1) counterpart of the (0, 2) triality proposed earlier by two of the authors and A. Gadde. We also describe the relation between global anomalies in gauge theoretic and sigma-model descriptions, filling in a gap in the present literature.

Additional Information

© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: January 27, 2020; Accepted: March 25, 2020; Published: April 14, 2020. We would like to thank Francesco Benini, Mykola Dedushenko, Shiraz Minwalla, Cumrun Vafa, Edward Witten for fruitful discussions. The work of S.G. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, and by the National Science Foundation under Grant No. NSF DMS 1664240. The work of D.P. is supported by NSF Grant DMS-1440140 while in residence at the Mathematical Sciences Research Institute in Berkeley, California during the Fall 2019 semester, and by the center of excellence grant "Center for Quantum Geometry of Moduli Space" from the Danish National Research Foundation (DNRF95).

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Published - Gukov2020_Article_TrialitiesOfMinimallySupersymm.pdf

Submitted - 1910.13455.pdf

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