Comments on chiral algebras and Ω-deformations
Abstract Every six-dimensional N $$ \mathcal{N} $$ = (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-...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2021)132 |
| _version_ | 1818965535545622528 |
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| author | Nikolay Bobev Pieter Bomans Fridrik Freyr Gautason |
| author_facet | Nikolay Bobev Pieter Bomans Fridrik Freyr Gautason |
| author_sort | Nikolay Bobev |
| collection | DOAJ |
| description | Abstract Every six-dimensional N $$ \mathcal{N} $$ = (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 $$ \mathcal{N} $$ = (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. |
| first_indexed | 2024-12-20T13:18:33Z |
| format | Article |
| id | doaj.art-258fd92b82b94ad19af2c7d6ca5abd25 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T13:18:33Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-258fd92b82b94ad19af2c7d6ca5abd252022-12-21T19:39:28ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021414010.1007/JHEP04(2021)132Comments on chiral algebras and Ω-deformationsNikolay Bobev0Pieter Bomans1Fridrik Freyr Gautason2Instituut voor Theoretische Fysica, K.U. LeuvenInstituut voor Theoretische Fysica, K.U. LeuvenInstituut voor Theoretische Fysica, K.U. LeuvenAbstract Every six-dimensional N $$ \mathcal{N} $$ = (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 $$ \mathcal{N} $$ = (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.https://doi.org/10.1007/JHEP04(2021)132Conformal Field TheoryField Theories in Higher DimensionsSupersymmetric Gauge Theory |
| spellingShingle | Nikolay Bobev Pieter Bomans Fridrik Freyr Gautason Comments on chiral algebras and Ω-deformations Journal of High Energy Physics Conformal Field Theory Field Theories in Higher Dimensions Supersymmetric Gauge Theory |
| title | Comments on chiral algebras and Ω-deformations |
| title_full | Comments on chiral algebras and Ω-deformations |
| title_fullStr | Comments on chiral algebras and Ω-deformations |
| title_full_unstemmed | Comments on chiral algebras and Ω-deformations |
| title_short | Comments on chiral algebras and Ω-deformations |
| title_sort | comments on chiral algebras and ω deformations |
| topic | Conformal Field Theory Field Theories in Higher Dimensions Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP04(2021)132 |
| work_keys_str_mv | AT nikolaybobev commentsonchiralalgebrasandōdeformations AT pieterbomans commentsonchiralalgebrasandōdeformations AT fridrikfreyrgautason commentsonchiralalgebrasandōdeformations |