An infinite family of w 1+∞ invariant theories on the celestial sphere
Abstract In this note we determine the graviton-graviton OPE and the null states in any w 1+∞ symmetric theory on the celestial sphere. Our analysis shows that there exists a discrete infinite family of such theories. The MHV-sector and the quantum self dual gravity are two members of this infinite...
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| Format: | Article |
| Sprog: | English |
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SpringerOpen
2023-05-01
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| Serier: | Journal of High Energy Physics |
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| Online adgang: | https://doi.org/10.1007/JHEP05(2023)063 |
| _version_ | 1827859756439568384 |
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| author | Shamik Banerjee Harshal Kulkarni Partha Paul |
| author_facet | Shamik Banerjee Harshal Kulkarni Partha Paul |
| author_sort | Shamik Banerjee |
| collection | DOAJ |
| description | Abstract In this note we determine the graviton-graviton OPE and the null states in any w 1+∞ symmetric theory on the celestial sphere. Our analysis shows that there exists a discrete infinite family of such theories. The MHV-sector and the quantum self dual gravity are two members of this infinite family. Although the Bulk Lagrangian description of this family of theories is not currently known to us, the graviton scattering amplitudes in these theories are heavily constrained due to the existence of null states. Presumably they are exactly solvable in the same way as the minimal models of 2-D CFT. |
| first_indexed | 2024-03-12T13:14:12Z |
| format | Article |
| id | doaj.art-1827cbae52f84c3ab4ac7140904578ec |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T13:14:12Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1827cbae52f84c3ab4ac7140904578ec2023-08-27T11:05:40ZengSpringerOpenJournal of High Energy Physics1029-84792023-05-012023511510.1007/JHEP05(2023)063An infinite family of w 1+∞ invariant theories on the celestial sphereShamik Banerjee0Harshal Kulkarni1Partha Paul2National Institute of Science Education and Research (NISER)Department of Physical Sciences, IISER KolkataCentre for High Energy Physics, Indian Institute of ScienceAbstract In this note we determine the graviton-graviton OPE and the null states in any w 1+∞ symmetric theory on the celestial sphere. Our analysis shows that there exists a discrete infinite family of such theories. The MHV-sector and the quantum self dual gravity are two members of this infinite family. Although the Bulk Lagrangian description of this family of theories is not currently known to us, the graviton scattering amplitudes in these theories are heavily constrained due to the existence of null states. Presumably they are exactly solvable in the same way as the minimal models of 2-D CFT.https://doi.org/10.1007/JHEP05(2023)063Gauge-Gravity CorrespondenceModels of Quantum GravityScattering AmplitudesSpace-Time Symmetries |
| spellingShingle | Shamik Banerjee Harshal Kulkarni Partha Paul An infinite family of w 1+∞ invariant theories on the celestial sphere Journal of High Energy Physics Gauge-Gravity Correspondence Models of Quantum Gravity Scattering Amplitudes Space-Time Symmetries |
| title | An infinite family of w 1+∞ invariant theories on the celestial sphere |
| title_full | An infinite family of w 1+∞ invariant theories on the celestial sphere |
| title_fullStr | An infinite family of w 1+∞ invariant theories on the celestial sphere |
| title_full_unstemmed | An infinite family of w 1+∞ invariant theories on the celestial sphere |
| title_short | An infinite family of w 1+∞ invariant theories on the celestial sphere |
| title_sort | infinite family of w 1 ∞ invariant theories on the celestial sphere |
| topic | Gauge-Gravity Correspondence Models of Quantum Gravity Scattering Amplitudes Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP05(2023)063 |
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