Chemistry of Chern-Simons Supergravity: reduction to a BPS kink, oxidation to M-theory and thermodynamical aspects

TL;DR

This paper develops a supersymmetric extension of a 2D gravitational Chern-Simons theory, studies its solutions including a BPS kink, explores thermodynamics and phase transitions, and discusses implications for higher-dimensional theories and AdS/CFT correspondence.

Contribution

It introduces a supersymmetric extension of the 2D Chern-Simons gravity, analyzes its solutions and thermodynamics, and explores higher-dimensional oxidation and holographic implications.

Findings

The kink solution is BPS and asymptotically AdS.

Thermodynamics shows a potential Hawking-Page-like transition.

Implications for higher-dimensional theories and AdS/CFT are discussed.

Abstract

We construct a supersymmetric extension of the two dimensional Kaluza-Klein-reduced gravitational Chern-Simons term, and globally study its solutions, labelled by mass and U(1) charge c. The kink solution is BPS, and in an appropriate conformal frame all solutions asymptotically approach AdS. The thermodynamics of the Hawking effect yields interesting behavior for the specific heat and hints at a Hawking-Page-like transition at T_{critical} \sim c^{3/2}. We address implications for higher dimensions ("oxidation"), in particular D=3,4 and 11, and comment briefly on AdS/CFT aspects of the kink.