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Résumé |
The Lorentzian black hole sigma model and its Euclidean version are CFTs in 1+1
space-time dimensions that were introduced in the context of string theory.
While the quantum Euclidean black hole sigma model is well understood, the
definition of the path integral for the Lorentzian one, whose target-space is
equipped with a metric of indefinite signature (+1,-1), is unclear. In the talk
I will discuss a new approach to the study of the CFTs via the scaling limit of
a certain integrable 1D spin chain. Among other things, I will present a recent
result for the density of states of the Euclidean black hole sigma model that
was obtained from the study of the lattice system. This density of states
reproduces the modular invariant partition function constructed in the works of
Maldacena, Ooguri & Son and Hanany, Prezas & Troost. |
