(Multi)Matrix Models and Interacting Clones of Liouville Gravity

Details (Multi)Matrix Models and Interacting Clones of Liouville Gravity (Multi)Matrix Models and Interacting Clones of Liouville Gravity

2008-05-27

arxiv.org/abs/0805.4234v2

JHEP0808:044,2008

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, 4 figures; v2 references added, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2008/08/044

Large-N matrix models coupled via multitrace operators are used to define, via appropriate double-scaling limits, solvable models of interacting multi-string theories. It is shown that although such theories are non-local at the world-sheet level they have a simple description of the spacetime physics. Such theories share the main characteristics of similarly coupled higher-dimensional CFTs. An interpretation has been given in the past of similar continuum limits in terms of Liouville interactions that violate the Seiberg bound. We provide a novel interpretation of this relation which agrees with the current understanding of Liouville theory and analogous observations in the AdS/CFT correspondence.

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