Rational Theories of 2D Gravity from the Two-Matrix Model
High Energy Physics - Theory
2009-10-22 v2
Abstract
The correspondence claimed by M. Douglas, between the multicritical regimes of the two-matrix model and 2D gravity coupled to (p,q) rational matter field, is worked out explicitly. We found the minimal (p,q) multicritical potentials U(X) and V(Y) which are polynomials of degree p and q, correspondingly. The loop averages W(X) and \tilde W(Y) are shown to satisfy the Heisenberg relations {W,X} =1 and {\tilde W,Y}=1 and essentially coincide with the canonical momenta P and Q. The operators X and Y create the two kinds of boundaries in the (p,q) model related by the duality (p,q) - (q,p). Finally, we present a closed expression for the two two-loop correlators and interpret its scaling limit.
Keywords
Cite
@article{arxiv.hep-th/9303093,
title = {Rational Theories of 2D Gravity from the Two-Matrix Model},
author = {J. M. Daul and V. Kazakov and I. Kostov},
journal= {arXiv preprint arXiv:hep-th/9303093},
year = {2009}
}
Comments
24 pages, preprint CERN-TH.6834/93