Stringy horizons and generalized FZZ duality in perturbation theory
In: Journal of High Energy Physics; (2016)
Online
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Zugriff:
We study scattering amplitudes in two-dimensional string theory on a black hole bakground. We start with a simple derivation of the Fateev-Zamolodchikov-Zamolodchikov (FZZ) duality, which associates correlation functions of the sine-Liouville integrable model on the Riemann sphere to tree-level string amplitudes on the Euclidean two-dimensional black hole. This derivation of FZZ duality is based on perturbation theory, and it relies on a trick originally due to Fateev, which involves duality relations between different Selberg type integrals. This enables us to rewrite the correlation functions of sine-Liouville theory in terms of a special set of correlators in the gauged Wess-Zumino-Witten (WZW) theory, and use this to perform further consistency checks of the recently conjectured Generalized FZZ (GFZZ) duality. In particular, we prove that n-point correlation functions in sine-Liouville theory involving n-2 winding modes actually coincide with the correlation functions in the SL(2,R)/U(1) gauged WZW model that include n-2 oscillator operators of the type described by Giveon, Itzhaki and Kutasov in reference arXiv:1603.05822. This proves the GFZZ duality for the case of tree level maximally winding violating n-point amplitudes with arbitrary $n$. We also comment on the connection between GFZZ and other marginal deformations previously considered in the literature.
Comment: 19 pages
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Stringy horizons and generalized FZZ duality in perturbation theory
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Autor/in / Beteiligte Person: | Giribet, Gaston |
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Quelle: | Journal of High Energy Physics; (2016) |
Veröffentlichung: | arXiv, 2016 |
Medientyp: | unknown |
DOI: | 10.48550/arxiv.1611.03945 |
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