Comments on chiral algebras and Ω-deformations
Comments on chiral algebras and Ω-deformations
Every six-dimensional N = (2, 0) SCFT on R6 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 R6 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 R4 transverse to the chiral algebra plane.
Bobev, Nikolay
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Bomans, Pieter
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Gautason, Fridrik F.
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14 April 2021
Bobev, Nikolay
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Bomans, Pieter
cd8002c6-6adb-470f-beb0-36767d3d080d
Gautason, Fridrik F.
0c48d448-e092-48bf-a310-45862bd6fc5f
Bobev, Nikolay, Bomans, Pieter and Gautason, Fridrik F.
(2021)
Comments on chiral algebras and Ω-deformations.
JHEP, 2021, [132].
(doi:10.1007/JHEP04(2021)132).
Abstract
Every six-dimensional N = (2, 0) SCFT on R6 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 R6 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 R4 transverse to the chiral algebra plane.
Text
JHEP04(2021)132
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Accepted/In Press date: 10 March 2021
Published date: 14 April 2021
Identifiers
Local EPrints ID: 497452
URI: http://eprints.soton.ac.uk/id/eprint/497452
ISSN: 1126-6708
PURE UUID: 7657112e-cf02-4d7e-8cf0-980f2741d404
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Date deposited: 23 Jan 2025 17:31
Last modified: 22 Aug 2025 02:43
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Contributors
Author:
Nikolay Bobev
Author:
Pieter Bomans
Author:
Fridrik F. Gautason
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