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- Title
Vertex operator superalgebra/sigma model correspondences: The four-torus case.
- Authors
Anagiannis, Vassilis; Cheng, Miranda C N; Duncan, John; Volpato, Roberto
- 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 |${\cal N}=(4,4)$| 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 |${\cal N}=(4,4)$| supersymmetric non-linear sigma models on four-tori, and compare it to the K3 case.
- Subjects
VERTEX operator algebras; OPERATOR algebras; SUPERALGEBRAS; SIGMA particles; NON-linear sigma model (Statistical physics)
- Publication
Progress of Theoretical & Experimental Physics: PTEP, 2021, Vol 2021, Issue 8, p1
- ISSN
2050-3911
- Publication type
Article
- DOI
10.1093/ptep/ptab095