skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Orders and dimensions for sl(2) or sl(3) module categories and boundary conformal field theories on a torus

Abstract

After giving a short description, in terms of action of categories, of some of the structures associated with sl(2) and sl(3) boundary conformal field theories on a torus, we provide tables of dimensions describing the semisimple and cosemisimple blocks of the corresponding weak bialgebras (quantum groupoids), tables of quantum dimensions and orders, and tables describing induction-restriction. For reasons of size, the sl(3) tables of induction are only given for theories with self-fusion (existence of a monoidal structure)

Authors:
;  [1];  [2]
  1. Centre de Physique Theorique, UMR 6207 du CNRS et des Universites Aix-Marseille I, Aix-Marseille II et du Sud Toulon-Var, affilie a la FRUMAM (FR 2291), Luminy Case 907, F-13288 Marseille Cedex 9 (France)
  2. (CBPF), Rua Dr. Xavier Sigaud, 150 Rio de Janeiro (Brazil)
Publication Date:
OSTI Identifier:
20929689
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 4; Other Information: DOI: 10.1063/1.2714000; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; CONFORMAL INVARIANCE; QUANTUM FIELD THEORY; SL GROUPS

Citation Formats

Coquereaux, R., Schieber, G., and Centro Brasileiro de Pesquisas Fisicas. Orders and dimensions for sl(2) or sl(3) module categories and boundary conformal field theories on a torus. United States: N. p., 2007. Web. doi:10.1063/1.2714000.
Coquereaux, R., Schieber, G., & Centro Brasileiro de Pesquisas Fisicas. Orders and dimensions for sl(2) or sl(3) module categories and boundary conformal field theories on a torus. United States. doi:10.1063/1.2714000.
Coquereaux, R., Schieber, G., and Centro Brasileiro de Pesquisas Fisicas. Sun . "Orders and dimensions for sl(2) or sl(3) module categories and boundary conformal field theories on a torus". United States. doi:10.1063/1.2714000.
@article{osti_20929689,
title = {Orders and dimensions for sl(2) or sl(3) module categories and boundary conformal field theories on a torus},
author = {Coquereaux, R. and Schieber, G. and Centro Brasileiro de Pesquisas Fisicas},
abstractNote = {After giving a short description, in terms of action of categories, of some of the structures associated with sl(2) and sl(3) boundary conformal field theories on a torus, we provide tables of dimensions describing the semisimple and cosemisimple blocks of the corresponding weak bialgebras (quantum groupoids), tables of quantum dimensions and orders, and tables describing induction-restriction. For reasons of size, the sl(3) tables of induction are only given for theories with self-fusion (existence of a monoidal structure)},
doi = {10.1063/1.2714000},
journal = {Journal of Mathematical Physics},
number = 4,
volume = 48,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}