Loop models and their critical points
Open Access
- 30 November 2006
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 39 (50), 15445-15475
- https://doi.org/10.1088/0305-4470/39/50/011
Abstract
Loop models have been widely studied in physics and mathematics, in problems ranging from polymers to topological quantum computation to Schramm-Loewner evolution. I present new loop models which have critical points described by conformal field theories. Examples include both fully-packed and dilute loop models with critical points described by the superconformal minimal models and the SU(2)_2 WZW models. The dilute loop models are generalized to include SU(2)_k models as well.Keywords
Other Versions
This publication has 48 references indexed in Scilit:
- SLE for theoretical physicistsAnnals of Physics, 2005
- Line of Critical Points inDimensions: Quantum Critical Loop Gases and Non-Abelian Gauge TheoryPhysical Review Letters, 2005
- A class of P,T-invariant topological phases of interacting electronsAnnals of Physics, 2004
- A Magnetic Model with a Possible Chern-Simons PhaseCommunications in Mathematical Physics, 2003
- Fault-tolerant quantum computation by anyonsAnnals of Physics, 2003
- Field theory of compact polymers on the square latticeNuclear Physics B, 1998
- Fully packed loop model on the honeycomb latticePhysical Review Letters, 1994
- The phase diagram of the O(n) modelPhysica A: Statistical Mechanics and its Applications, 1989
- Infinite conformal symmetry in two-dimensional quantum field theoryNuclear Physics B, 1984
- Critical behaviour and associated conformal algebra of the Z3 Potts modelNuclear Physics B, 1984