Comments on chiral algebras and Ω-deformations

A bstract Every six-dimensional N = (2 , 0) SCFT on R 6 contains a set of protected operators whose correlation functions are controlled by a two-dimensional chiral algebra. We provide an alternative construction of this chiral algebra by performing an Ω-deformation of a topological-holomorphic twis...

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Veröffentlicht in:The journal of high energy physics 2021-04, Vol.2021 (4), p.1-40, Article 132
Hauptverfasser: Bobev, Nikolay, Bomans, Pieter, Gautason, Fridrik Freyr
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Sprache:eng
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Zusammenfassung:A bstract Every six-dimensional N = (2 , 0) SCFT on R 6 contains a set of protected operators whose correlation functions are controlled by a two-dimensional chiral algebra. We provide an alternative construction of this chiral algebra by performing an Ω-deformation of a topological-holomorphic twist of the N = (2 , 0) theory on R 6 and restricting to the cohomology of a specific supercharge. In addition, we show that the central charge of the chiral algebra can be obtained by performing equivariant integration of the anomaly polynomial of the six-dimensional theory. Furthermore, we generalize this construction to include orbifolds of the R 4 transverse to the chiral algebra plane.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2021)132