A CRITICAL MATRIX MODEL FOR NON-ORIENTED STRING-Reference-Cited by-同舟云学术

A CRITICAL MATRIX MODEL FOR NON-ORIENTED STRING

Published:1991-11-10 Issue:34 Volume:06 Page:3143-3152
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

CHEKHOV L.¹,ZABRODIN A.²

Affiliation:

1. Steklov Math. Inst., Vavilov St. 42, 117333, GSP-1, Moscow, USSR

2. Inst. of Chemical Physics, ul. Kosygina 4, Moscow, USSR

Abstract

The Penner-like model of real symmetric matrices with logarithmic potential is solved. We suggest that the double-scaling limit free energy of this model can be interpreted as a generating function for virtual Euler characteristics of moduli space of non-orientable surfaces. The asymptotic expansion in the double-scaling limit is found to coincide with the R=1/4 Gross–Klebanov c=1 model. We also found some amusing correspondences between this model and exactly solvable six-vertex model on square lattice.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732391003638

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