Published September 21, 1992 | Version v1
Journal article

Unitary matrix models and 2D quantum gravity

  • 1. Princeton Univ., NJ (United States). Joseph Henry Labs.
  • 2. Southampton Univ. (United Kingdom). Dept. of Physics
  • 3. Inst. for Theoretical Physics, Chalmers Inst. of Tech., S-412 96 Goteborg (Sweden)

Description

In this paper the KdV and modified KdV integrable hierarchies are shown to be different descriptions of the same 2D gravitational system - open-closed string theory. Non-perturbative solutions of the multicritical unitary matrix models map to non-singular solutions of the renormalization group equation for the string susceptibility, [P, Q] = Q. The authors also demonstrate that the large-N solutions of unitary matrix integrals in external fields, studied by Gross and Newman, equal the non-singular pure closed-string solutions of [bar P, Q] = Q

Additional details

Publishing Information

Journal Title
Modern Physics Letters A
Journal Volume
7
Journal Issue
29
Journal Page Range
p. 2753.
ISSN
0217-7323
CODEN
MPLAEQ