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H + 3 WZNW model from Liouville field theory
"... There exists an intriguing relation between genus zero correlation functions in the H + 3 WZNW model and in Liouville field theory. This was found by Ribault and Teschner based in part on earlier ideas by Stoyanovsky. We provide a path integral derivation of the correspondence and then use our new a ..."
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There exists an intriguing relation between genus zero correlation functions in the H + 3 WZNW model and in Liouville field theory. This was found by Ribault and Teschner based in part on earlier ideas by Stoyanovsky. We provide a path integral derivation of the correspondence and then use our new approach to generalize the relation to surfaces of arbitrary genus g. In particular we determine the correlation functions of N primary fields in the WZNW model explicitly through Liouville correlators with N + 2g − 2 additional insertions of certain degenerate fields. The paper concludes with a list of interesting further extensions and a few comments on the relation to the geometric Langlands program.
Fundamental superstrings as holograms
, 2007
"... The worldsheet of a macroscopic fundamental superstring in the GreenSchwarz lightcone gauge is viewed as a possible boundary hologram of the near horizon region of a small black string. For toroidally compactified strings, the hologram has global symmetries of AdS3 ×S d−1 ×T 8−d (d = 3,..., 8), on ..."
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The worldsheet of a macroscopic fundamental superstring in the GreenSchwarz lightcone gauge is viewed as a possible boundary hologram of the near horizon region of a small black string. For toroidally compactified strings, the hologram has global symmetries of AdS3 ×S d−1 ×T 8−d (d = 3,..., 8), only some of which extend to local conformal symmetries. We construct the bulk string theory in detail for the particular case of d = 3. The symmetries of the hologram are correctly reproduced from this exact worldsheet description in the bulk. Moreover, the central charge of the boundary Virasoro algebra obtained from the bulk agrees with the Wald entropy of the associated small black holes. This construction provides an exact CFT description of the near horizon region of small black holes both in TypeII and heterotic
H + 3 WZNW model from Liouville field theory
, 706
"... Abstract: There exists an intriguing relation between genus zero correlation functions in the H + 3 WZNW model and in Liouville field theory. We provide a path integral derivation of the correspondence and then use our new approach to generalize the relation to surfaces of arbitrary genus g. In part ..."
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Cited by 7 (3 self)
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Abstract: There exists an intriguing relation between genus zero correlation functions in the H + 3 WZNW model and in Liouville field theory. We provide a path integral derivation of the correspondence and then use our new approach to generalize the relation to surfaces of arbitrary genus g. In particular we determine the correlation functions of N primary fields in the WZNW model explicitly through Liouville correlators with N+2g−2 additional insertions of certain degenerate fields. The paper concludes with a list of interesting further extensions and a few comments on the relation to the geometric Langlands program.
The FZZDuality Conjecture  A Proof
, 2008
"... We prove that the cigar conformal field theory is dual to the SineLiouville model, as conjectured originally by Fateev, Zamolodchikov and Zamolodchikov. Since both models possess the same chiral algebra, our task is to show that correlations of all tachyon vertex operators agree. We accomplish this ..."
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We prove that the cigar conformal field theory is dual to the SineLiouville model, as conjectured originally by Fateev, Zamolodchikov and Zamolodchikov. Since both models possess the same chiral algebra, our task is to show that correlations of all tachyon vertex operators agree. We accomplish this goal through an offcritical version of the geometric Langlands duality for sl(2). More explicitly, we combine the wellknown selfduality of Liouville theory with an intriguing correspondence between the cigar and Liouville field theory. The latter is derived through a path integral treatment. After a very detailed discussion of genus zero amplitudes, we
UCBPTH08/12
, 805
"... We show a physical realization of the Langlands duality in correlation functions of H + 3 WZNW model. We derive a dual version of the StoyanovkyRiabultTeschner (SRT) formula that relates the correlation function of the H + 3 WZNW and the dual Liouville theory to investigate the level duality k−2 → ..."
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We show a physical realization of the Langlands duality in correlation functions of H + 3 WZNW model. We derive a dual version of the StoyanovkyRiabultTeschner (SRT) formula that relates the correlation function of the H + 3 WZNW and the dual Liouville theory to investigate the level duality k−2 → (k−2) −1 in the WZNW correlation functions. Then, we show that such a dual version of the H + 3 −Liouville relation can be interpreted as a particular case of a biparametric family of nonrational CFTs based on the Liouville correlation functions, which was recently proposed by Ribault. We study symmetries of these new nonrational CFTs and compute correlation functions explicitly by using the free field realization to see how a generalized Langlands duality manifests itself in this framework. Finally, we suggest an interpretation of the SRT formula as realizing the DrinfeldSokolov Hamiltonian reduction. Again, the Hamiltonian reduction reveals the Langlands duality in the H + 3 WZNW model. Our new identity for the correlation functions of H + 3 WZNW model may yield a first step to understand quantum geometric
Topological String on OSP(12)/U(1)
, 907
"... We propose an equivalence between topological string on OSP(12)/U(1) and ĉ ≤ 1 superstring with N = 1 worldsheet supersymmetry. We examine this by employing a free field representation of OSP(12) WZNW model and find an agreement on the spectrum. We also analyze this proposal at the level of scatt ..."
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We propose an equivalence between topological string on OSP(12)/U(1) and ĉ ≤ 1 superstring with N = 1 worldsheet supersymmetry. We examine this by employing a free field representation of OSP(12) WZNW model and find an agreement on the spectrum. We also analyze this proposal at the level of scattering amplitudes by applying a map between correlation functions of OSP(12) WZNW model and