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 …

LieART 2.0–a mathematica application for lie algebras and representation theory

R Feger, TW Kephart, RJ Saskowski - Computer Physics Communications, 2020 - Elsevier
We present LieART 2.0 which contains substantial extensions to the Mathematica
application LieART (Lie Algebras and Representation T heory) for computations frequently …

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 …

3d exceptional gauge theories and boundary confinement

T Okazaki, DJ Smith - Journal of High Energy Physics, 2023 - Springer
A bstract We find boundary confining dualities of 3d\(\mathcal {N}\)= 2 supersymmetric
gauge theories with exceptional gauge groups. The half-indices which enumerate the …

Elliptic genera of pure gauge theories in two dimensions with semisimple non-simply-connected gauge groups

R Eager, E Sharpe - Communications in Mathematical Physics, 2021 - Springer
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/Γ (for G semisimple …

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 …

More non-Abelian mirrors and some two-dimensional dualities

W Gu, H Parsian, E Sharpe - International Journal of Modern …, 2019 - World Scientific
In this paper, we extend the non-Abelian mirror proposal of two of the authors from two-
dimensional gauge theories with connected gauge groups to the case of O (k) gauge groups …