On the correspondence between mirror-twisted sectors for N=2 supersymmetric vertex operator superalgebras of the form $V\otimes V$ and N=1 Ramond sectors of $V$

Abstract

Using recent results of the author along with Vander Werf, we present the classification and construction of mirror-twisted modules for N=2 supersymmetric vertex operator superalgebras of the form $V\otimes V$ for the signed transposition mirror map automorphism. In particular, we show that the category of such mirror-twisted sectors for $V\otimes V$ is isomorphic to the category of N=1 Ramond sectors for $V$.

Short note (9 pages) and submission to the Proceedings of the Xth International Workshop on Lie Theory and Its Applications in Physics, June 2013, Varna, Bulgaria, editor V. Dobrev