Matrix Models, Argyres-Douglas singularities and double scaling limits
Abstract
We construct an N=1 theory with gauge group U(nN) and degree n+1 tree level superpotential whose matrix model spectral curve develops an A_{n+1} Argyres-Douglas singularity. We evaluate the coupling constants of the low-energy U(1)^n theory and show that the large N expansion is singular at the Argyres-Douglas points. Nevertheless, it is possible to define appropriate double scaling limits which are conjectured to yield four dimensional non-critical string theories as proposed by Ferrari. In the Argyres-Douglas limit the n-cut spectral curve degenerates into a solution with n/2 cuts for even n and (n+1)/2 cuts for odd n.
Keywords
Cite
@article{arxiv.hep-th/0305058,
title = {Matrix Models, Argyres-Douglas singularities and double scaling limits},
author = {Gaetano Bertoldi},
journal= {arXiv preprint arXiv:hep-th/0305058},
year = {2010}
}
Comments
31 pages, 1 figure; the expression of the superpotential has been corrected and the calculation of the coupling constants of the low-energy theory has been added