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ZZ boundary states and fragmented AdS2 spaces

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      Abstract

      In this paper we show that Liouville gravity on the strip with Zamolodchikov-Zamolodchikov (ZZ) boundary conditions has a semi-classical interpretation in terms of fragmented AdS2 spacetime geometries. Further, we study the three-point functions of the ZZ boundary states, and show that they are dominated by multi-AdS2 instantons in the classical limit.

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      Notes on Quantum Liouville Theory and Quantum Gravity

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        Liouville Field Theory -- A decade after the revolution

         Yu Nakayama (2004)
        We review recent developments (up to January 2004) of the Liouville field theory and its matrix model dual. This review consists of three parts. In part I, we review the bosonic Liouville theory. After briefly reviewing the necessary background, we discuss the bulk structure constants (the DOZZ formula) and the boundary states (the FZZT brane and the ZZ brane). Various applications are also presented. In part II, we review the supersymmetric extension of the Liouville theory. We first discuss the bulk structure constants and the branes as in the bosonic Liouville theory, and then we present the matrix dual descriptions with some applications. In part III, the Liouville theory on unoriented surfaces is reviewed. After introducing the crosscap state, we discuss the matrix model dual description and the tadpole cancellation condition. This review also includes some original material such as the derivation of the conjectured dual action for the N = 2 Liouville theory from other known dualities and the comparison of the Liouville crosscap state with the c = 0 unoriented matrix model. This is based on my master's thesis submitted to Department of Physics, Faculty of Science, University of Tokyo on January 2004.
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          Classical and quantal Liouville field theory

           E. D'Hoker,  R. Jackiw (1982)
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            Author and article information

            Journal
            07 August 2008
            2009-06-04
            0808.0923
            10.1088/1126-6708/2009/07/002

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

            Custom metadata
            JHEP 0907:002,2009
            27 pages, 14 figures; minor changes, references added
            hep-th

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