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- Title
Poisson vertex algebras in supersymmetric field theories.
- Authors
Oh, Jihwan; Yagi, Junya
- Abstract
A large class of supersymmetric quantum field theories, including all theories with N = 2 supersymmetry in three dimensions and theories with N = 2 supersymmetry in four dimensions, possess topological–holomorphic sectors. We formulate Poisson vertex algebras in such topological–holomorphic sectors and discuss some examples. For a four-dimensional N = 2 superconformal field theory, the associated Poisson vertex algebra is the classical limit of a vertex algebra generated by a subset of local operators of the theory.
- Subjects
POISSON algebras; QUANTUM field theory; SUPERSYMMETRY; TOPOLOGICAL algebras; OPERATOR theory; VERTEX operator algebras; DIMENSION theory (Algebra)
- Publication
Letters in Mathematical Physics, 2020, Vol 110, Issue 8, p2245
- ISSN
0377-9017
- Publication type
Article
- DOI
10.1007/s11005-020-01290-0