Chiral algebras, localization and surface defects
Four-dimensional N = 2 superconformal quantum field theories contain a subsector carrying the structure of a chiral algebra. Using localization techniques, we show for the free hypermultiplet that this structure can be accessed directly from the path integral on the four-sphere. We extend the loc...
| Main Authors: | , |
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| Format: | Journal article |
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Springer Verlag
2018
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| _version_ | 1826293531137802240 |
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| author | Pan, Y Peelaers, W |
| author_facet | Pan, Y Peelaers, W |
| author_sort | Pan, Y |
| collection | OXFORD |
| description | Four-dimensional N = 2 superconformal quantum field theories contain a subsector carrying the structure of a chiral algebra. Using localization techniques, we show for the free hypermultiplet that this structure can be accessed directly from the path integral on the four-sphere. We extend the localization computation to include supersymmetric surface defects described by a generic 4d/2d coupled system. The presence of a defect corresponds to considering a module of the chiral algebra: our results provide a calculational window into its structure constants. |
| first_indexed | 2024-03-07T03:31:32Z |
| format | Journal article |
| id | oxford-uuid:bae84b85-06d4-4afc-9413-aadf915b4315 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:31:32Z |
| publishDate | 2018 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:bae84b85-06d4-4afc-9413-aadf915b43152022-03-27T05:12:59ZChiral algebras, localization and surface defectsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bae84b85-06d4-4afc-9413-aadf915b4315Symplectic Elements at OxfordSpringer Verlag2018Pan, YPeelaers, WFour-dimensional N = 2 superconformal quantum field theories contain a subsector carrying the structure of a chiral algebra. Using localization techniques, we show for the free hypermultiplet that this structure can be accessed directly from the path integral on the four-sphere. We extend the localization computation to include supersymmetric surface defects described by a generic 4d/2d coupled system. The presence of a defect corresponds to considering a module of the chiral algebra: our results provide a calculational window into its structure constants. |
| spellingShingle | Pan, Y Peelaers, W Chiral algebras, localization and surface defects |
| title | Chiral algebras, localization and surface defects |
| title_full | Chiral algebras, localization and surface defects |
| title_fullStr | Chiral algebras, localization and surface defects |
| title_full_unstemmed | Chiral algebras, localization and surface defects |
| title_short | Chiral algebras, localization and surface defects |
| title_sort | chiral algebras localization and surface defects |
| work_keys_str_mv | AT pany chiralalgebraslocalizationandsurfacedefects AT peelaersw chiralalgebraslocalizationandsurfacedefects |