2022/11/23 by Nishant Gupta, Gupta, Nishant, Nemani V. Suryanarayana +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2211.13176
openalex publication_date 2022/11/23 · openalex created_date 2022/11/30 · openalex updated_date 2026/07/28
Generalising the chiral boundary conditions of ℝ1,3 gravity for AdS4 gravity, we derive chiral locally AdS4 solutions in the Newman-Unti gauge consistent with a variational principle whose asymptotic symmetry algebra we show, to be an infinite-dimensional chiral extension of \mathfrakso(2,3). This symmetry algebra coincides with the chiral \mathfrakbms4 algebra in the flat space limit. We posit this symmetry algebra as the chiral version of recently discovered Λ-\mathfrakbms4 algebra. We postulate line integral charges from the bulk AdS4 gravity corresponding to this chiral symmetry algebra and show that the charges obey the semi-classical limit of a W-algebra that includes a level κ Kac-Moody \mathfraksl(2,ℝ) current algebra. Furthermore, using the standard tools of 2d CFT, we derive the quantum version of this W-algebra which may be denoted by W(2;(3/2)2,13).