Normal view MARC view ISBD view

Nishant Gupta

Aspects of Chiral Symmetries in Holography [HBNI Th242] - Chennai The Institute of Mathematical Sciences 2024 - 229p.



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.

Subjects--Topical Terms:
Physics

Subjects--Index Terms: Symmetries in Holography

Universal Decimal Class. No.: HBNI / Th242