2024/05/30 by Gupta, Nishant, Suryanarayana, Nemani V.
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2405.20244
We propose mixed boundary conditions for 3d conformal gravity consistent with variational principle in its second-order formalism that admit the chiral Λ-\mathfrakbms4 algebra as their asymptotic symmetry algebra. This algebra is one of the four chiral \mathcal W-algebra extensions of \mathfrakso(2,3) and is a generalisation of the chiral \mathfrakbms4 algebra responsible for soft theorems of graviton MHV amplitudes in \mathbb R1,3 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.