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Orbifolds and topological defects | | Ilka Brunner
; Nils Carqueville
; Daniel Plencner
; | | Date: |
11 Jul 2013 | | Abstract: | We study orbifolds of two-dimensional topological field theories using
defects. If the TFT arises as the twist of a superconformal field theory, we
recover results on the Neveu-Schwarz and Ramond sectors of the orbifold theory
as well as bulk-boundary correlators from a novel, universal perspective. This
entails a structure somewhat weaker than ordinary TFT, which however still
describes a sector of the underlying conformal theory. The case of B-twisted
Landau-Ginzburg models is discussed in detail, where we compute charge vectors
and superpotential terms for B-type branes.
Our construction also works in the absence of supersymmetry and for
generalised "orbifolds" that need not arise from symmetry groups. In general
this involves a natural appearance of Hochschild (co)homology in a
2-categorical setting, in which among other things we provide simple
presentations of Serre functors and a further generalisation of the Cardy
condition. | | Source: | arXiv, 1307.3141 | | Services: | Forum | Review | PDF | Favorites | |
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