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arXiv · 2009.00186

Vertex operator superalgebra/sigma model correspondences: The four-torus case

Vassilis Anagiannis·Miranda C. N. Cheng·John Duncan·Roberto Volpato
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Abstract

We propose a correspondence between vertex operator superalgebras and families of sigma models in which the two structures are related by symmetry properties and a certain reflection procedure. The existence of such a correspondence is motivated by previous work on N=(4,4) supersymmetric non-linear sigma models on K3 surfaces and on a vertex operator superalgebra with Conway group symmetry. Here we present an example of the correspondence for N=(4,4) supersymmetric non-linear sigma models on four-tori, and compare it to the K3 case.

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Vassilis Anagiannis, Miranda C. N. Cheng, John Duncan, Roberto Volpato. 2020-09-01. Vertex operator superalgebra/sigma model correspondences: The four-torus case. https://doi.org/10.1093/ptep/ptab095

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