Integrable spin chain for the SL(2,R)/U(1) black hole sigma model.
- Ikhlef Y Section Mathématiques, Université de Genève, Genève 4, Switzerland. yacine.ikhlef@unige.ch
- Jacobsen JL
- Saleur H
- 2012-04-03
Published in:
- Physical review letters. - 2012
English
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.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1103/PhysRevLett.108.081601
- PMID 22463514
- Persistent URL
- https://sonar.ch/global/documents/245451
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