Poisson vertex algebras in supersymmetric field theories

Author: 

Oh, J
Yagi, J

Publication Date: 

25 May 2020

Journal: 

Letters in Mathematical Physics

Last Updated: 

2021-06-12T05:40:37.6+01:00

Issue: 

8

Volume: 

110

DOI: 

10.1007/s11005-020-01290-0

page: 

2245-2275

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.

Symplectic id: 

1137960

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article