Dirac reductions and classical W-algebras-Reference-Cited by-同舟云学术

Dirac reductions and classical W-algebras

Published:2023-01-01 Issue:1 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Lee Gahng Sahn¹^ORCID,Song Arim¹^ORCID,Suh Uhi Rinn²^ORCID

Affiliation:

1. Department of Mathematical Sciences, Seoul National University 1 , Gwanak-Ro 1, Gwanak-Gu, Seoul 08826, Korea

2. Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University 2 , Gwanak-Ro 1, Gwanak-Gu, Seoul 08826, Korea

Abstract

In the first part of this paper, we generalize the Dirac reduction to the extent of non-local Poisson vertex superalgebra and non-local SUSY Poisson vertex algebra cases. Next, we modify this reduction so that we explain the structures of classical W-superalgebras and SUSY classical W-algebras in terms of the modified Dirac reduction.

Funder

National Research Foundation of Korea

Seoul National University

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0126205/16693285/011703_1_online.pdf

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