Chennai Mathematical Institute

Seminars




Physics Seminar
Date: Monday, 11th March 2024
Time: 01:45 PM
Venue: Lectute Hall 02
$AdS_2/CFT_1$ holography at finite charge density

Hemant Rathi
IIT Roorkee.
11-03-24


Abstract

I will briefly discuss $AdS_2/CFT_1$ holography, also known as JT/SYK duality, and explore various generalizations of JT gravity involving $U(1)$ gauge fields and $SU(2)$ Yang-Mills interactions. In particular, we will investigate the effects of non-trivial gauge couplings on the thermal properties of black holeswormholes and examine the possibilities of the Hawking-Page transition and wormhole to black hole phase transition in two dimensions. Additionally, we will examine the transformation properties of the boundary stress-energy tensor under diffeomorphism and U(1) gauge transformation, thereby computing the central charge associated with the 1D boundary theory.