Non-critical strings: Link to QHE and geometry of disorder

Ara Sedrakyan

1: I will present a new type of Matrix Model (MM), which allows putting any spin chain model given by R-matrix on a random surface. Contrary to standard MM's, the proposed model allows for critical models of any central charge, including c>1. Examples include Babujyan-Takhtajian models with higher spins. Hence, the approach opens the door to cross the c=1 barrier problem in the non-critical string theory. Diagonalization of matrices of the MM leads to the problem of Gaussian matrix integration over Full Flag Manifold (FFF). We argue that this integral can be evaluated.

http://scgp.stonybrook.edu/video_portal/video.php?id=4486

Simons- talk