Fusion rules for the continuum sectors of the Virasoro algebra with c=1

Details Fusion rules for the continuum sectors of the Virasoro algebra with c=1 Fusion rules for the continuum sectors of the Virasoro algebra with c=1

2000-07-10

arxiv.org/abs/math-ph/0007011v1

Lett.Math.Phys.53:305-312,2000

Physics

Mathematical Physics

8 pages

Scientific paper

10.1023/A:1007669904067

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.

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