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Institute for the Physics and Mathematics of the UniverseWPI

H3+ Liouville relation and its applications

Date: May 28, 2008, from 15:30
Place: Room 633, 6th floor, Research Centers Building, Kashiwa Campus of the University of Tokyo
Speaker: Yasuaki Hikida (KEK)
Title: H3+ Liouville relation and its applications
Abstract: H3+ model describes strings on 3 dimensional Anti-de Sitter space, and it is known that N-point function of H3+ model can be reduced to (2N-2)-point function of a more tractable theory, i.e., Liouville field theory. Utilizing path integral formulation we rederive this relation in a quite simple manner. Since the derivation is so simple and intuitive, we can apply this method to other interesting cases, such as, higher genus case, supersymmetric case, and gauged model case. In particular, gauged model case is quite important because we can show that the correspondence is equivalent to the T-duality (FZZ duality) between Witten's cigar model and Sine-Liouville theory proposed by Fateev, Zamolodchikov, and Zamolodchikov.