Classification of Conformal Field Theories Based on Coulomb gases. Application to Loop Models

Details Classification of Conformal Field Theories Based on Coulomb gases. Application to Loop Models Classification of Conformal Field Theories Based on Coulomb gases. Application to Loop Models

2001-05-29

arxiv.org/abs/hep-th/0105287v1

Nucl.Phys. B618 (2001) 523-550

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 34 pages, 8 figures

Scientific paper

10.1016/S0550-3213(01)00409-6

We present a method for classifying conformal field theories based on Coulomb gases (bosonic free-field construction). Given a particular geometric configuration of the screening charges, we give necessary conditions for the existence of degenerate representations and for the closure of the vertex-operator algebra. The resulting classification contains, but is more general than, the standard one based on classical Lie algebras. We then apply the method to the Coulomb gas theory for the two-flavoured loop model of Jacobsen and Kondev. The purpose of the study is to clarify the relation between Coulomb gas models and conformal field theories with extended symmetries.

Affiliated with

Also associated with

No associations

Rating

Classification of Conformal Field Theories Based on Coulomb gases. Application to Loop Models 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 Classification of Conformal Field Theories Based on Coulomb gases. Application to Loop Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classification of Conformal Field Theories Based on Coulomb gases. Application to Loop Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-196645