Chiral algebra from worldsheet

Fuente: arXiv
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Autore principale: Li, Wei
Natura: Preprint
Pubblicazione: 2023
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author Li, Wei
author_facet Li, Wei
contents The chiral algebra of a 4D $N\geq2$ superconformal field theory is a vertex operator algebra generated by the Schur subsector of the 4D theory and its rigid (yet rich) structure has been useful in constraining and classifying 4D N=2 SCFTs. We study how the chiral algebra arises from the worldsheet perspective. In the worldsheet CFT dual of 4D N=4 SYM at the free point, we extract the subsector that corresponds to the spacetime Schur operators at generic coupling, and show how they generate the chiral algebra. The result can be easily generalized to 4D N=2 superconformal field theories that arise as orbifolds of 4D N=4 SYM.
format Preprint
id arxiv_https___arxiv_org_abs_2312_02138
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Chiral algebra from worldsheet
Li, Wei
High Energy Physics - Theory
The chiral algebra of a 4D $N\geq2$ superconformal field theory is a vertex operator algebra generated by the Schur subsector of the 4D theory and its rigid (yet rich) structure has been useful in constraining and classifying 4D N=2 SCFTs. We study how the chiral algebra arises from the worldsheet perspective. In the worldsheet CFT dual of 4D N=4 SYM at the free point, we extract the subsector that corresponds to the spacetime Schur operators at generic coupling, and show how they generate the chiral algebra. The result can be easily generalized to 4D N=2 superconformal field theories that arise as orbifolds of 4D N=4 SYM.
title Chiral algebra from worldsheet
topic High Energy Physics - Theory
url https://arxiv.org/abs/2312.02138