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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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            Classical and quantal Liouville field theory

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              Liouville Field Theory -- A decade after the revolution

              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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                Author and article information

                Journal
                07 August 2008
                2009-06-04
                Article
                10.1088/1126-6708/2009/07/002
                0808.0923
                a7bcf24e-54d5-4ec8-8216-94ad76461906

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

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

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