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

Open Access
Authors
Publication date 08-2021
Journal Progress of Theoretical and Experimental Physics
Article number 08B102
Volume | Issue number 2021 | 8
Number of pages 32
Organisations
  • Faculty of Science (FNWI) - Institute of Physics (IoP) - Institute for Theoretical Physics Amsterdam (ITFA)
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
  • Faculty of Science (FNWI)
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.
Document type Article
Language English
Published at https://doi.org/10.1093/ptep/ptab095
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