Chiral $\Lambda$-$\mathfrak{bms}_4$ symmetry of 3d conformal gravity

Autor:	Gupta, Nishant, Suryanarayana, Nemani V.
Rok vydání:	2024
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
Popis:	We propose mixed boundary conditions for 3d conformal gravity consistent with variational principle in its second-order formalism that admit the chiral $\Lambda$-$\mathfrak{bms}_4$ algebra as their asymptotic symmetry algebra. This algebra is one of the four chiral $\mathcal W$-algebra extensions of $\mathfrak{so}(2,3)$ and is a generalisation of the chiral $\mathfrak{bms}_4$ algebra responsible for soft theorems of graviton MHV amplitudes in ${\mathbb R}^{1,3}$ gravity to the case of non-zero negative cosmological constant. The corresponding charges calculated using the modified covariant phase space formalism are shown to be finite and integrable, and realise this non-linear ${\cal W}$-algebra. Comment: 22 pages. Minor modifications and corrected typos in the equations which do not affect the final results. References added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.20244 Zobrazit plný text záznamu View this record from Arxiv