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 $$\mathca...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14162-5 |
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| Summary: | Abstract We propose mixed boundary conditions for 3d conformal gravity consistent with variational principle in its second-order formalism that admit the chiral $$\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. |
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| ISSN: | 1434-6052 |