(Multi)Matrix Models and Interacting Clones of Liouville Gravity

Abstract

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.

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

References in corpus (4)

• Infrared-modified gravities and massive gravitons
• The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
• Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals
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