Non-perturbative solution of matrix models modified by trace-squared terms

Igor R. Klebanov, Akikazu Hashimoto

Research output: Contribution to journalArticle

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Abstract

We present a non-perturbative solution of large N matrix models modified by terms of the form g(Trø4)2, which add microscopic wormholes to the random surface geometry. For g < gt 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 ∼ eα+ø. For g = gt 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, eα-ø. This allows us to define a double-scaling limit of the g = gt theory. We also consider matrix models modified by terms of the form gO2, 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.

Original languageEnglish (US)
Pages (from-to)264-282
Number of pages19
JournalNuclear Physics, Section B
Volume434
Issue number1-2
DOIs
StatePublished - Jan 23 1995

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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