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Prog. Theor. Phys. Vol. 82 No. 1 (1989) pp. 162-170

KN Algebra Derived from Virasoro Algebra with Vertex Operators

Gaku Konisi, Takesi Saito^* and Wataru Takahasi

Department of Physics, Kwansei Gakuin University, Nishinomiya 662
^*Department of Physics, Kyoto Pref. University of Medicine, Taishogun, Kyoto 603

(Received February 23, 1989)

Abstract:

By using the Virasoro algebra with vertex operators we derive the Krichever-Novikov (KN) algebra with vertex operators on hegher-genus Riemann surface Γ. We find that the cocycles χ_ij appearing in the KN algebra do not have the Schwarzian connection. The "interacting" BRST charge and its associated algebra on Γ are also given.

URL : http://ptp.ipap.jp/link?PTP/82/162/
DOI : 10.1143/PTP.82.162

[ Full Text PDF : FREE ACCESS (370K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 82 No. 4 (1989) pp. 813-828 :

   KN Superalgebras with Vertex Operators

   Gaku Konisi, Takesi Saito and Wataru Takahasi

2. Progress of Theoretical Physics Vol. 84 No. 1 (1990) pp. 63-71 :

   Super-Quasi-Conformal Transformation and Schiffer Variation on Super-Riemann Surface

   Wataru Takahasi

3. Progress of Theoretical Physics Vol. 85 No. 4 (1991) pp. 743-750 :

   Schwarzian Connections in the Krichever-Novikov Algebra

   Takesi Saito

4. Progress of Theoretical Physics Vol. 86 No. 1 (1991) pp. 229-242 :

   Super Schwarzian Connections in Krichever-Novikov Superalgebras

   Gaku Konisi, Takesi Saito and Wataru Takahasi

5. Progress of Theoretical Physics Vol. 87 No. 3 (1992) pp. 743-755 :

   Weak Constraints in Conformal Field Theories on Higher-Genus Riemann Surfaces

   Gaku Konisi, Takeshi Saito and Wataru Takahasi

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