Boundary operators in minimal Liouville gravity and matrix models

We interpret the matrix boundaries of the one matrix model (1MM) recently constructed by two of the authors as an outcome of a relation among FZZT branes. In the double scaling limit, the 1MM is described by the (2 , 2 p + 1) minimal Liouville gravity. These matrix operators are shown to create a bo...

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Bibliographic Details
Published in:The journal of high energy physics 2010-12, Vol.2010 (12), Article 46
Main Authors: Bourgine, Jean-Emile, Ishiki, Goro, Rim, Chaiho
Format: Article
Language:English
Subjects:
Boundary conditions
Branes
Classical and Quantum Gravitation
Elementary Particles
Gravitation
High energy physics
Mathematical analysis
Matrix methods
Operators (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
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Summary:We interpret the matrix boundaries of the one matrix model (1MM) recently constructed by two of the authors as an outcome of a relation among FZZT branes. In the double scaling limit, the 1MM is described by the (2 , 2 p + 1) minimal Liouville gravity. These matrix operators are shown to create a boundary with matter boundary conditions given by the Cardy states. We also demonstrate a recursion relation among the matrix disc correlator with two different boundaries. This construction is then extended to the two matrix model and the disc correlator with two boundaries is compared with the Liouville boundary two point functions. In addition, the realization within the matrix model of several symmetries among FZZT branes is discussed.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2010)046