Relating {Kac-Moody}, Virasoro and Krichever-novikov Algebras
Jun, 198816 pages
Published in:
- Commun.Math.Phys. 120 (1988) 249
DOI:
Report number:
- CERN-TH-5068/88
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Abstract: (Springer)
We demonstrate that the Kac-Moody and Virasoro-like algebras on Riemann surfaces of arbitrary genus with two punctures introduced by Krichever and Novikov are in two ways linearly related to Kac-Moody and Virasoro algebras onS1. The two relations differ by a Bogoliubov transformation, and we discuss the connection with the operator formalism.- ALGEBRA: VIRASORO
- ALGEBRA: KAC-MOODY
- CURRENT ALGEBRA
- FIELD THEORY: CONFORMAL
- OPERATOR: ALGEBRA
- MATHEMATICAL METHODS: Riemann surface
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