Conformal Dynamics of 0-Branes

TL;DR

This paper explores the conformal properties of 0-branes in two-dimensional dilaton gravity, identifying three conformal points, analyzing their symmetries, and linking them to black hole thermodynamics.

Contribution

It uncovers three distinct conformal points in 0-brane dynamics, analyzes their symmetries, and connects conformal field theories to black hole thermodynamics.

Findings

Identified three conformal points: asymptotic region, horizon, and infinite coupling limit.

Confirmed perturbative conformal symmetry preservation at one-loop.

Calculated central charges and linked CFTs to black hole thermodynamics.

Abstract

We investigate the dynamics of dilatonic D-dimensional 0-branes in the near-horizon regime. The theory is given in a twofold form: two-dimensional dilaton gravity and nonlinear sigma model. Using asymptotic symmetries, duality relations, and sigma model techniques we find that the theory has three conformal points which correspond to (a) the asymptotic (Anti-de Sitter) region of the two-dimensional spacetime, (b) the horizon of the black hole, and (c) the infinite limit of the coupling parameter. We show that the conformal symmetry is perturbatively preserved at one-loop, identify the corresponding conformal field theories, and calculate the associated central charges. Finally, we use the conformal field theories to explain the thermodynamical properties of the two-dimensional black holes.