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

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

Yacine Ikhlef
(
- Geneva U.
)
,
Jesper Lykke Jacobsen
(
- Ecole Normale Superieure and
- Paris U., VI-VII
)
,
Hubert Saleur
(
- Saclay, SPhT and
- Southern California U.
)

Sep, 2011

5 pages

Published in:

Phys.Rev.Lett. 108 (2012) 081601

e-Print:

1109.1119 [hep-th]

DOI:

10.1103/PhysRevLett.108.081601

View in:

ADS Abstract Service

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Abstract: (arXiv)

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 non-compact spectrum: we are also able to determine the density of states, and show that it agrees with the formulas in [J. Math. Phys. 42, 2961 (2001)] and [JHEP 04, 014 (2002)], hence providing a direct `physical measurement' of the associated reflection amplitude.

Note:

6 pages, 3 figures, in RevTeX. Corrected some typos

05.50.+q
04.70.Dy
02.30.Ik
11.25.Hf
spin: chain
field theory: conformal
representation: SU(2)
SL(2,R)/U(1)
black hole
integrability

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