Title: 2D black hole sigma models from an integrable spin chain

Abstract: The subject of the talk is a certain 1D critical integrable lattice system that exhibits a variety of interesting universal behaviour. This includes a regime where the spectrum of critical exponents contains a continuous component and matches that of the Euclidean version of the 2D black hole non-linear sigma model. In the talk the relation between the scaling limit of the lattice model and the Euclidean/Lorentzian black hole sigma models will be discussed. Some new results on the density of states of the continuous spectrum for the Euclidean black hole CFT will be presented, which were obtained via an analysis of the spin chain. The talk is largely based on the work 2010.10603.

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