English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

This work concerns the quantum Lorentzian and Euclidean black hole non-linearsigma models. For the Euclidean black hole sigma model an equilibrium densitymatrix is proposed, which reproduces the modular invariant partition functionfrom the 2001 paper of Maldacena, Ooguri and Son. For the Lorentzian black holesigma model, using its formulation as a gauged ${\rm SL}(2,\mathbb{R})$ WZWmodel, we describe the linear and Hermitian structure of its space of statesand also propose an expression for the equilibrium density matrix. Our analysisis guided by the results of the study of a certain critical, integrable spinchain. In the scaling limit, the latter exhibits the key features of theLorentzian black hole sigma model including the same global symmetries, thesame algebra of extended conformal symmetry and a continuous spectrum ofconformal dimensions.

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