Daniel Robbins (University of Albany)
Mitchell Institute for Fundamental Physics & Astronomy
College Station, Texas 77843
In the context of 2D CFT, decomposition occurs when we construct an orbifold of a theory by gauging a group G that has a trivially-acting subgroup K. The resulting theory is a disjoint union of orbifolds by subgroups of the effective G/K symmetry. We'll generalize this old story by first turning on discrete torsion, and then observing that there are even more phases that can be introduced by exploiting the fact that K acts trivially. These phases sometimes let us gauge G even when it has an anomaly, or let us extend an anomalous group to something we can gauge.
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