# Nonlinear integral equations for the SL (2,R)/U(1)?> black hole sigma model

@article{Candu2013NonlinearIE,
title={Nonlinear integral equations for the SL (2,R)/U(1)?> black hole sigma model},
author={Constantin Candu and Yacine Ikhlef},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2013},
volume={46}
}
• Published 11 June 2013
• Physics
• Journal of Physics A: Mathematical and Theoretical
It was previously established that the critical staggered XXZ spin chain provides a lattice regularization of the black hole conformal field theory (CFT). We reconsider the continuum limit of this spin chain with the exact method of nonlinear integral equations (NLIEs), paying particular attention to the effects of a singular integration kernel. With the help of the NLIEs, we rederive the continuous black hole spectrum, but also numerically match the density of states of the spin chain with…
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