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arXiv · 1908.05791

Poisson vertex algebras in supersymmetric field theories

Jihwan Oh·Junya Yagi
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Abstract

A large class of supersymmetric quantum field theories, including all theories with $\mathcal{N} = 2$ supersymmetry in three dimensions and theories with $\mathcal{N} = 2$ 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 $\mathcal{N} = 2$ 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.

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Jihwan Oh, Junya Yagi. 2019-08-15. Poisson vertex algebras in supersymmetric field theories. https://doi.org/10.1007/s11005-020-01290-0

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