Chiral algebra from worldsheet

A bstract The chiral algebra of a 4D N ≥ 2 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 wor...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2024; no. 6; pp. 24 - 28
Main Author Li, Wei
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 05.06.2024
Springer Nature B.V
SpringerOpen
Subjects
AdS-CFT Correspondence
Algebra
Classical and Quantum Gravitation
Conformal and W Symmetry
Elementary Particles
Field theory
Operators (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetric Gauge Theory
Symmetry
AdS-CFT Correspondence
Supersymmetric Gauge Theory
Conformal and W Symmetry
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Summary:A bstract The chiral algebra of a 4D N ≥ 2 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.
ISSN:1029-8479
DOI:10.1007/JHEP06(2024)024