Chiral $$\Lambda $$ Λ - $$\mathfrak {bms}_4$$ bms 4 symmetry of 3d conformal gravity
Abstract We propose mixed boundary conditions for 3d conformal gravity consistent with variational principle in its second-order formalism that admit the chiral $$\Lambda $$ Λ - $$\mathfrak {bms}_4$$ bms 4 algebra as their asymptotic symmetry algebra. This algebra is one of the four chiral $$\mathca...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14162-5 |
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| author | Nishant Gupta Nemani V. Suryanarayana |
| author_facet | Nishant Gupta Nemani V. Suryanarayana |
| author_sort | Nishant Gupta |
| collection | DOAJ |
| description | Abstract We propose mixed boundary conditions for 3d conformal gravity consistent with variational principle in its second-order formalism that admit the chiral $$\Lambda $$ Λ - $$\mathfrak {bms}_4$$ bms 4 algebra as their asymptotic symmetry algebra. This algebra is one of the four chiral $$\mathcal W$$ W -algebra extensions of $$\mathfrak {so}(2,3)$$ so ( 2 , 3 ) and is a generalisation of the chiral $$\mathfrak {bms}_4$$ bms 4 algebra responsible for soft theorems of graviton MHV amplitudes in $${\mathbb R}^{1,3}$$ R 1 , 3 gravity to the case of non-zero negative cosmological constant. The corresponding charges are shown to be finite and integrable, and realise this non-linear $${{\mathcal {W}}}$$ W -algebra. |
| format | Article |
| id | doaj-art-82ce4ac3375d4a99af478243e81b2c0d |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-82ce4ac3375d4a99af478243e81b2c0d2025-08-20T03:52:20ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-04-0185411210.1140/epjc/s10052-025-14162-5Chiral $$\Lambda $$ Λ - $$\mathfrak {bms}_4$$ bms 4 symmetry of 3d conformal gravityNishant Gupta0Nemani V. Suryanarayana1National Institute of Science Education and Research (NISER)Institute of Mathematical SciencesAbstract We propose mixed boundary conditions for 3d conformal gravity consistent with variational principle in its second-order formalism that admit the chiral $$\Lambda $$ Λ - $$\mathfrak {bms}_4$$ bms 4 algebra as their asymptotic symmetry algebra. This algebra is one of the four chiral $$\mathcal W$$ W -algebra extensions of $$\mathfrak {so}(2,3)$$ so ( 2 , 3 ) and is a generalisation of the chiral $$\mathfrak {bms}_4$$ bms 4 algebra responsible for soft theorems of graviton MHV amplitudes in $${\mathbb R}^{1,3}$$ R 1 , 3 gravity to the case of non-zero negative cosmological constant. The corresponding charges are shown to be finite and integrable, and realise this non-linear $${{\mathcal {W}}}$$ W -algebra.https://doi.org/10.1140/epjc/s10052-025-14162-5 |
| spellingShingle | Nishant Gupta Nemani V. Suryanarayana Chiral $$\Lambda $$ Λ - $$\mathfrak {bms}_4$$ bms 4 symmetry of 3d conformal gravity European Physical Journal C: Particles and Fields |
| title | Chiral $$\Lambda $$ Λ - $$\mathfrak {bms}_4$$ bms 4 symmetry of 3d conformal gravity |
| title_full | Chiral $$\Lambda $$ Λ - $$\mathfrak {bms}_4$$ bms 4 symmetry of 3d conformal gravity |
| title_fullStr | Chiral $$\Lambda $$ Λ - $$\mathfrak {bms}_4$$ bms 4 symmetry of 3d conformal gravity |
| title_full_unstemmed | Chiral $$\Lambda $$ Λ - $$\mathfrak {bms}_4$$ bms 4 symmetry of 3d conformal gravity |
| title_short | Chiral $$\Lambda $$ Λ - $$\mathfrak {bms}_4$$ bms 4 symmetry of 3d conformal gravity |
| title_sort | chiral lambda λ mathfrak bms 4 bms 4 symmetry of 3d conformal gravity |
| url | https://doi.org/10.1140/epjc/s10052-025-14162-5 |
| work_keys_str_mv | AT nishantgupta chirallambdalmathfrakbms4bms4symmetryof3dconformalgravity AT nemanivsuryanarayana chirallambdalmathfrakbms4bms4symmetryof3dconformalgravity |