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.
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Communicated by N. A. Nekrasov
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Brunner, I., Carqueville, N. & Plencner, D. Orbifolds and Topological Defects. Commun. Math. Phys. 332, 669–712 (2014). https://doi.org/10.1007/s00220-014-2056-3
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DOI: https://doi.org/10.1007/s00220-014-2056-3