Nonlinear integral equations for the \(\mathrm{SL}(2,\mathbb{R})/\mathrm{U}(1)\) black hole sigma model
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Publication:2861469
DOI10.1088/1751-8113/46/41/415401zbMATH Open1277.83046arXiv1306.2646OpenAlexW2267868599MaRDI QIDQ2861469
Author name not available (Why is that?)
Publication date: 8 November 2013
Published in: (Search for Journal in Brave)
Abstract: It was previously established that the critical staggered XXZ spin chain provides a lattice regularization of the black hole CFT. We reconsider the continuum limit of this spin chain with the exact method of non-linear 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 that of the CFT, which is a new result. Finally, we briefly discuss the integrable structure of the black hole CFT and the identification of its massive integrable perturbation on the lattice.
Full work available at URL: https://arxiv.org/abs/1306.2646
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