Moduli spaces of anti-invariant vector bundles and twisted conformal blocks

We prove a canonical identifications between the spaces of generalized theta functions on the moduli spaces of anti-invariant vector bundles in the ramified case and the conformal blocks associated to twisted Kac–Moody affine algebras. We also show a strange duality on level one in the unramiffied case, this gives the dimensions of the spaces of generalized theta functions of level one.

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Received 3 April 2018

Accepted 24 June 2019

Published 6 March 2020