36 citations · 193 across the 13 of their papers we have counts for
13 papers
Notes on gauging noninvertible symmetries, part 2: higher multiplicity cases
Alonso Perez-Lona, Daniel Robbins, Eric Sharpe +2
In this paper we discuss gauging noninvertible zero-form symmetries in two dimensions, extending our previous work. Specifically, in this work we discuss more general gauged noninv…
The Fusion Categorical Diagonal
Daniel Robbins, Thomas Vandermeulen
We define a Frobenius algebra over fusion categories of the form RepRep which generalizes the diagonal subgroup of . This allows us to extend field th…
Notes on gauging noninvertible symmetries, part 1: Multiplicity-free cases
A. Perez-Lona, D. Robbins, E. Sharpe +2
In this paper we discuss gauging noninvertible zero-form symmetries in two dimensions. We specialize to certain gaugeable cases, specifically, fusion categories of the form Rep(H)…
Perspectives on Anomaly Resolution
Thomas Vandermeulen
We examine in detail the process of resolving 't Hooft anomalies by extending the symmetry of a theory. Specifically, we interpret the ingredients of existing prescriptions for ano…
Decomposition, Trivially-Acting Symmetries, and Topological Operators
Daniel Robbins, Eric Sharpe, Thomas Vandermeulen
Trivially-acting symmetries in two-dimensional conformal field theory include twist fields of dimension zero which are local topological operators. We investigate the consequences…
Orbifolds by 2-groups and decomposition
T. Pantev, D. Robbins, E. Sharpe +1
In this paper we study three-dimensional orbifolds by 2-groups with a trivially-acting one-form symmetry group BK. These orbifolds have a global two-form symmetry, and so one expec…
Quantum symmetries in orbifolds and decomposition
D. Robbins, E. Sharpe, T. Vandermeulen
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 quantum symme…
Anomaly resolution via decomposition
D. Robbins, E. Sharpe, T. Vandermeulen
In this paper we apply decomposition to orbifolds with quantum symmetries to resolve anomalies. Briefly, it has been argued by e.g. Wang-Wen-Witten, Tachikawa that an anomalous orb…
Anomalies, Extensions and Orbifolds
Daniel Robbins, Eric Sharpe, Thomas Vandermeulen
We investigate gauge anomalies in the context of orbifold conformal field theories. Such anomalies manifest as failures of modular invariance in the constituents of the orbifold pa…
A generalization of decomposition in orbifolds
Daniel Robbins, Eric Sharpe, Thomas Vandermeulen
This paper describes a generalization of decomposition in orbifolds. In general terms, decomposition states that two-dimensional orbifolds and gauge theories whose gauge groups hav…
Modular Orbits at Higher Genus
Daniel Robbins, Thomas Vandermeulen
We extend the modular orbits method of constructing a two-dimensional orbifold conformal field theory to higher genus Riemann surfaces. We find that partition functions on surfaces…
Orbifolds from Modular Orbits
Daniel Robbins, Thomas Vandermeulen
Given a two-dimensional conformal field theory with a global symmetry, we propose a method to implement an orbifold construction by taking orbits of the modular group. For the case…
The Genus Two Free Boson in Arakelov Geometry
Thomas Vandermeulen
Using Arakelov geometry, we compute the partition function of the noncompact free boson at genus two. We begin by compiling a list of modular invariants which appear in the Arakelo…