Advances in Theoretical and Mathematical Physics

Volume 25 (2021)

Number 6

A proposal for nonabelian $(0,2)$ mirrors

Pages: 1549 – 1596

DOI: https://dx.doi.org/10.4310/ATMP.2021.v25.n6.a4

Authors

Wei Gu (Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Va., U.S.A.)

Jirui Guo (Department of Physics, Center for Field Theory & Particle Physics, Fudan University, Shanghai, China)

Eric Sharpe (Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Va., U.S.A.)

Abstract

In this paper we give a proposal for mirrors to $(0,2)$ supersymmetric gauged linear sigma models (GLSMs), for those $(0,2)$ GLSMs which are deformations of $(2,2)$ GLSMs. Specifically, we propose a construction of $(0,2)$ mirrors for $(0,2)$ GLSMs with $E$ terms that are linear and diagonal, reducing to both the Hori–Vafa prescription as well as a recent $(2,2)$ nonabelian mirrors proposal on the $(2,2)$ locus. For the special case of abelian $(0,2)$ GLSMs, two of the authors have previously proposed a systematic construction, which is both simplified and generalized by the proposal here.

Full Text (PDF format)

The authors would like to thank Z. Chen and I. Melnikov for useful discussions.

W.G. would like to thank the math department of Tsinghua University for hospitality while this work was completed, and E.S. would like to thank the Aspen Center for Physics for hospitality while this work was completed.

The Aspen Center for Physics is supported by National Science Foundation grant PHY-1607611. E.S. was partially supported by NSF grant PHY-1720321.

Published 24 June 2022