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Moore-Tachikawa Varieties: Beyond Duality (2310.01489v1)
Published 2 Oct 2023 in hep-th, math-ph, math.AG, math.MP, and math.SG
Abstract: We propose a generalisation of the Moore-Tachikawa varieties for the case in which the target category of the 2D TFT is a hyperk$\ddot{\text{a}}$hler quotient. The setup requires generalising the bordism operators of Moore and Segal to the case involving lack of reparametrisation-invariance on the Riemann surface, ultimately enabling to relate this to the issue of defining a Drinfeld center for composite class ${\cal S}$ theories.
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