Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stringy horizons and generalized FZZ duality in perturbation theory   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.

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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph