Fusion rules for the continuum sectors of the Virasoro algebra with c=1
Mathematical Physics
2008-11-26 v1 High Energy Physics - Theory
math.MP
Abstract
The Virasoro algebra with c=1 has a continuum of superselection sectors characterized by the ground state energy h. Only a discrete subset of sectors arises by restriction of representations of the SU(2) current algebra at level k=1. The remaining continuum of sectors is obtained with the help of (localized) homomorphisms into the current algebra. The fusion product of continuum sectors with discrete sectors is computed. A new method of determining the sector of a state is used.
Keywords
Cite
@article{arxiv.math-ph/0007011,
title = {Fusion rules for the continuum sectors of the Virasoro algebra with c=1},
author = {K. -H. Rehren and H. R. Tuneke},
journal= {arXiv preprint arXiv:math-ph/0007011},
year = {2008}
}
Comments
8 pages