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Ikhlef Y, Jacobsen JL, Saleur H. Integrable spin chain for the SL(2,R)/U(1) black hole sigma model. Phys Rev Lett. 2012;108(8):081601doi: 10.1103/PhysRevLett.108.081601.
Ikhlef, Y., Jacobsen, J. L., & Saleur, H. (2012). Integrable spin chain for the SL(2,R)/U(1) black hole sigma model. Physical review letters, 108(8), 081601. https://doi.org/10.1103/PhysRevLett.108.081601
Ikhlef, Yacine, et al. "Integrable spin chain for the SL(2,R)/U(1) black hole sigma model." Physical review letters vol. 108,8 (2012): 081601. doi: https://doi.org/10.1103/PhysRevLett.108.081601
Ikhlef Y, Jacobsen JL, Saleur H. Integrable spin chain for the SL(2,R)/U(1) black hole sigma model. Phys Rev Lett. 2012 Feb 24;108(8):081601. doi: 10.1103/PhysRevLett.108.081601. Epub 2012 Feb 23. PMID: 22463514.
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Phys Rev Lett. 2012 Feb 24;108(8):081601. doi: 10.1103/PhysRevLett.108.081601. Epub 2012 Feb 23.

Integrable spin chain for the SL(2,R)/U(1) black hole sigma model.

Physical review letters

Yacine Ikhlef, Jesper Lykke Jacobsen, Hubert Saleur

Affiliations

  1. Section Mathématiques, Université de Genève, Genève 4, Switzerland. [email protected]

PMID: 22463514 DOI: 10.1103/PhysRevLett.108.081601

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.

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