title: Integrable spin chain for the SL(2,R)/U(1) black hole sigma model.
abstract: We introduce a spin chain based on finite-dimensional spin-1/2 SU(2) representations but with a non-Hermitian "Hamiltonian" and show, using mostly analytical techniques, that it is described at low energies by the SL(2,R)/U(1) Euclidian black hole conformal field theory. This identification goes beyond the appearance of a noncompact spectrum; we are also able to determine the density of states, and show that it agrees with the formulas in [J. Maldacena, H. Ooguri, and J. Son, J. Math. Phys. (N.Y.) 42, 2961 (2001)] and [A. Hanany, N. Prezas, and J. Troost, J. High Energy Phys. 04 (2002) 014], hence providing a direct "physical measurement" of the associated reflection amplitude.
authors.affiliation: Section Mathématiques, Université de Genève, Genève 4, Switzerland. yacine.ikhlef@unige.ch
authors.forename: Yacine
authors.initials: Y
authors.lastname: Ikhlef
authors.forename: Jesper Lykke
authors.initials: JL
authors.lastname: Jacobsen
authors.forename: Hubert
authors.initials: H
authors.lastname: Saleur