Aspects of Chiral Symmetries in Holography [HBNI Th242]

Abstract

This thesis explores the derivation of chiral current algebras from different gravita- tional theories, including R1,3 gravity, AdS4 gravity, and 3d conformal gravity. We propose chiral boundary conditions consistent with the variational principle for 4d asymptotically flat solutions yielding a chiral bms4 asymptotic symmetry algebra. This symmetry algebra was earlier discovered in the context of celestial conformal field theory. It is an infinite-dimensional chiral extension of the Poincaré algebra and includes a copy of Virasoro algebra, a copy of sl(2, R) current algebra, and a doublet of commuting currents with conformal weight h = 23 . Additionally, a novel non-chiral infinite-dimensional symmetry algebra for R1,3 gravity is introduced through alterna- tive non-chiral boundary conditions, considering the boundary metric in conformal gauge.