Topological operators, noninvertible symmetries and decomposition

E Sharpe - arXiv preprint arXiv:2108.13423, 2021 - arxiv.org
In this paper we discuss the relationship between noninvertible topological operators, one-
form symmetries, and decomposition of two-dimensional quantum field theories, focusing on …

An introduction to decomposition

E Sharpe - 2021-2022 MATRIX Annals, 2024 - Springer
We review work on 'decomposition,'a property of two-dimensional theories with 1-form
symmetries and, more generally, d-dimensional theories with (d− 1)-form symmetries …

Quantum symmetries in orbifolds and decomposition

DG Robbins, E Sharpe, T Vandermeulen - Journal of High Energy Physics, 2022 - Springer
A bstract In this paper, we introduce a new set of modular-invariant phase factors for
orbifolds with trivially-acting subgroups, analogous to discrete torsion and generalizing …

Undoing decomposition

E Sharpe - International Journal of Modern Physics A, 2019 - World Scientific
In this paper we discuss gauging one-form symmetries in two-dimensional theories. The
existence of a global one-form symmetry in two dimensions typically signals a violation of …

Notes on two-dimensional pure supersymmetric gauge theories

W Gu, E Sharpe, H Zou - Journal of High Energy Physics, 2021 - Springer
A bstract In this note we study IR limits of pure two-dimensional supersymmetric gauge
theories with semisimple non-simply-connected gauge groups including SU (k)/ℤ k, SO …

A proposal for nonabelian (0, 2) mirrors

W Gu, J Guo, E Sharpe - arXiv preprint arXiv:1908.06036, 2019 - arxiv.org
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 …

Non-Abelian T-dualities in two dimensional (0, 2) gauged linear sigma models

NGC Bizet, J Díaz-Correa… - Journal of High Energy …, 2024 - Springer
A bstract We consider two dimensional (2D) gauged linear sigma models (GLSMs) with (0,
2) supersymmetry and U (1) gauge group which posses global symmetries. We distinguish …

Nonabelian mirrors and Gromov-Witten invariants

W Gu, J Guo, Y Wen - arXiv preprint arXiv:2012.04664, 2020 - arxiv.org
We propose Picard-Fuchs equations for periods of nonabelian mirrors in this paper. The
number of parameters in our Picard-Fuchs equations is the rank of the gauge group of the …

Towards a mirror theorem for GLSMs

M Shoemaker - arXiv preprint arXiv:2108.12360, 2021 - arxiv.org
We propose a method for computing generating functions of genus-zero invariants of a
gauged linear sigma model $(V, G,\theta, w) $. We show that certain derivatives of $ I …

T-dualities in gauged linear sigma models

NC Bizet - arXiv preprint arXiv:2404.15025, 2024 - arxiv.org
We describe non-Abelian T-dualities for $\mathcal {N}= 2$ two dimensional gauged linear
sigma model (GLSM). We start with the case of left and right $(2, 2) $ supersymmetry …