Orbifolds by 2-groups and decomposition
Tony Pantev, Daniel Robbins, Eric Sharpe, Thomas Vandermeulen
Abstract
A bstract 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 expects that they decompose into (are equivalent to) a disjoint union of other three-dimensional theories, which we demonstrate. These theories can be interpreted as sigma models on 2-gerbes, whose formal structures reflect properties of the orbifold construction.
Topics & Concepts
OrbifoldPure mathematicsDisjoint setsGroup (periodic table)DecompositionMathematicsSymmetry (geometry)SigmaDisjoint union (topology)Theoretical physicsSymmetry groupPhysicsCombinatoricsGeometryChemistryQuantum mechanicsOrganic chemistryHomotopy and Cohomology in Algebraic TopologyNonlinear Waves and SolitonsGeometric and Algebraic Topology