Comments on chiral algebras and Ω-deformations
Every six-dimensional $\mathcal{N}$=<strong>(2,0)</strong> SCFT on <strong>R<sup>6</sup></strong> contains a set of protected operators whose correlation functions are controlled by a two-dimensional chiral algebra. We provide an alternative construction of this c...
| Main Authors: | , , |
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| Format: | Internet publication |
| Language: | English |
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2020
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| _version_ | 1824459159138992128 |
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| author | Bobev, N Bomans, P Gautason, FF |
| author_facet | Bobev, N Bomans, P Gautason, FF |
| author_sort | Bobev, N |
| collection | OXFORD |
| description | Every six-dimensional $\mathcal{N}$=<strong>(2,0)</strong> SCFT on <strong>R<sup>6</sup></strong> 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 $\mathcal{N}$=<strong>(2,0)</strong> theory on <strong>R<sup>6</sup></strong> 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 <strong>R<sup>4</sup></strong> transverse to the chiral algebra plane. |
| first_indexed | 2025-02-19T04:37:21Z |
| format | Internet publication |
| id | oxford-uuid:0dc06b38-02fc-44d1-9358-a60e677c952f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2025-02-19T04:37:21Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | oxford-uuid:0dc06b38-02fc-44d1-9358-a60e677c952f2025-02-06T11:48:50ZComments on chiral algebras and Ω-deformationsInternet publicationhttp://purl.org/coar/resource_type/c_7ad9uuid:0dc06b38-02fc-44d1-9358-a60e677c952fEnglishSymplectic Elements2020Bobev, NBomans, PGautason, FFEvery six-dimensional $\mathcal{N}$=<strong>(2,0)</strong> SCFT on <strong>R<sup>6</sup></strong> 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 $\mathcal{N}$=<strong>(2,0)</strong> theory on <strong>R<sup>6</sup></strong> 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 <strong>R<sup>4</sup></strong> transverse to the chiral algebra plane. |
| spellingShingle | Bobev, N Bomans, P Gautason, FF Comments on chiral algebras and Ω-deformations |
| 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 |
| work_keys_str_mv | AT bobevn commentsonchiralalgebrasandōdeformations AT bomansp commentsonchiralalgebrasandōdeformations AT gautasonff commentsonchiralalgebrasandōdeformations |