Moore-Tachikawa Varieties: Beyond Duality

Abstract: We propose a generalisation of the Moore-Tachikawa varieties for the case in which the target category of the ۲D TFT is a hyperkaehler 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 S theories.

Keywords:

cochain level theories , symplectic varieties , topological field theories , categorical duality , quiver gauge theories , higher categories , relative QFTs