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

K. -H. Rehren·H. R. Tuneke
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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.

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K. -H. Rehren, H. R. Tuneke. 2000-07-10. Fusion rules for the continuum sectors of the Virasoro algebra with c=1. https://doi.org/10.1023/a%3A1007669904067

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