I will discuss the sign factor problem in the 3D gauge Ising model, present the corresponding fermionic model on random surfaces, which leads to the formulation of non-critical fermionic string theory on the basis of induced Dirac action. I will demonstrate how the sign factor model is linked to ordinary and spin quantum Hall plateau transitions, tying them also to non-critical string theory. Based on the sign-factor model new type of matrix model will be formulated, which allows consideration of any spin chain models on random surfaces. This approach opens the way to cross the c=1 barrier in non-critical string theory.
De Wendelin Werner
De Victor Dotsenko
De Alessandro Giuliani
De Rafael Greenblatt
De Eveliina Peltola
De Giuseppe Mussardo
De Yvan Velenik
De Michele Caselle
De Ara Sedrakyan
De Michael Aizenman
De Jürg Fröhlich , Tom Spencer , Arthur Jaffe , Geoffrey Grimmett , Joel Lebowitz
De Vincent Tassion
De Clément Delcamp
De Claudio Dappiaggi
De Alexander Strohmaier
De Hans Lindblad
De Céline Duval
De Olivier Benoist
