Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain

verfasst von

Vladimir Bazhanov, Gleb Andreevich Kotoousov, Sergei Lukyanov

Abstract

This work concerns the quantum Lorentzian and Euclidean black hole non-linear sigma models. For the Euclidean black hole sigma model an equilibrium density matrix is proposed, which reproduces the modular invariant partition function from the 2001 paper of Maldacena, Ooguri and Son. For the Lorentzian black hole sigma model, using its formulation as a gauged SL(2, ℝ) WZW model, we describe the linear and Hermitian structure of its space of states and also propose an expression for the equilibrium density matrix. Our analysis is guided by the results of the study of a certain critical, integrable spin chain. In the scaling limit, the latter exhibits the key features of the Lorentzian black hole sigma model including the same global symmetries, the same algebra of extended conformal symmetry and a continuous spectrum of conformal dimensions.

Organisationseinheit(en)

Institut für Theoretische Physik

Externe Organisation(en)

Australian National University
Rutgers University

Typ

Artikel

Journal

Journal of High Energy Physics

Band

2021

ISSN

1029-8479

Publikationsdatum

17.03.2021

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja