Trivially-acting symmetries in two-dimensional conformal field theory include twist fields of
dimension zero which are local topological operators. We investigate the consequences of …

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 …

A bstract This paper describes a generalization of decomposition in orbifolds. In general
terms, decomposition states that two-dimensional orbifolds and gauge theories whose …

In this paper we propose a systematic construction of mirrors of nonabelian two dimensional
(2, 2) supersymmetric gauge theories. Specifically, we propose a construction of B-twisted …

Elliptic and genus one fibered Calabi-Yau spaces play a prominent role in string theory and
mathematics. In this article we discuss a class of genus one fibered Calabi-Yau threefolds …

It was recently argued by Nguyen-Tanizaki-Unsal that two-dimensional pure Yang-Mills
theory is equivalent to (decomposes into) a disjoint union of (invertible) quantum field …

In this paper, we discuss decomposition in the context of three-dimensional Chern–Simons
theories. Specifically, we argue that a Chern–Simons theory with a gauged noneffectively …

Given a gauged linear sigma model (GLSM) TX realizing a projective variety X in one of its
phases, ie its quantum Kähler moduli has a geometric point, we propose an extended GLSM …

In this paper we discuss dilaton shifts (Euler counterterms) arising in decomposition of two-
dimensional quantum field theories with higher-form symmetries. Relative shifts between …

A bstract In this paper we give gauged linear sigma model (GLSM) realizations of a number
of geometries not previously presented in GLSMs. We begin by describing GLSM …