Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-11-24
J.Phys. A35 (2002) L377-L384
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages, new material added
Scientific paper
We discuss the structure of 2D conformal field theories (CFT) at central charge c=0 describing critical disordered systems, polymers and percolation. We construct a novel extension of the c=0 Virasoro algebra, characterized by a number b measuring the effective number of massless degrees of freedom, and by a logarithmic partner of the stress tensor. It is argued to be present at a generic random critical point, lacking super Kac-Moody, or other higher symmetries, and is a tool to describe and classify such theories. Interestingly, this algebra is not only consistent with, but indeed naturally accommodates in general an underlying global supersymmetry. Polymers and percolation realize this algebra. Unexpectedly, we find that the c=0 Kac table of the degenerate fields contains two distinct theories with b=5/6 and b=-5/8 which we conjecture to correspond to percolation and polymers respectively. A given Kac-table field can be degenerate only in one of them. Remarkably, we also find this algebra, and thereby an ensuing hidden supersymmetry, realized at general replica-averaged critical points, for which we derive an explicit formula for b.
Gurarie Victor
Ludwig Andreas W. W.
No associations
LandOfFree
Conformal Algebras of 2D Disordered Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Conformal Algebras of 2D Disordered Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal Algebras of 2D Disordered Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-307