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• W2056550451 abstract "We present a non-perturbative solution of large $N$ matrix models modified by terms of the form $ g(TrPhi^4)^2$, which add microscopic wormholes to the random surface geometry. For $g<g_t$ the sum over surfaces is in the same universality class as the $g=0$ theory, and the string susceptibility exponent is reproduced by the conventional Liouville interaction $sim e^{alpha_+ phi}$. For $g=g_t$ we find a different universality class, and the string susceptibility exponent agrees for any genus with Liouville theory where the interaction term is dressed by the other branch, $e^{alpha_- phi}$. This allows us to define a double-scaling limit of the $g=g_t$ theory. We also consider matrix models modified by terms of the form $g O^2$, where $O$ is a scaling operator. A fine-tuning of $g$ produces a change in this operator's gravitational dimension which is, again, in accord with the change in the branch of the Liouville dressing." @default.
• W2056550451 created "2016-06-24" @default.
• W2056550451 creator A5029235159 @default.
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• W2056550451 date "1995-01-01" @default.
• W2056550451 modified "2023-09-25" @default.
• W2056550451 title "Non-perturbative solution of matrix models modified by trace-squared terms" @default.
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• W2056550451 doi "https://doi.org/10.1016/0550-3213(94)00518-j" @default.
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