Density matrix for the 2D black hole from an integrable spin chain

Abstract: Twenty years ago Maldacena, Ooguri and Son constructed a modular invariant partition function for the Euclidean black hole (cigar) NLSM. They also proposed an expression for the corresponding density matrix. This result played a key role in the formulation of the remarkable conjecture by Ikhlef, Jacobsen and Saleur that the Euclidean black hole NLSM underlies the critical behaviour of a certain integrable spin chain. In this talk we critically reexamine the above proposals.

The talk is based on the recent (unpublished) joint work with V. Bazhanov and G. Kotousov.

HEP - theorymathematical physicsexactly solvable and integrable systems

Audience: researchers in the topic

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London Integrability Journal Club

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