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Prog. Theor. Phys. Vol. 82 No. 4 (1989) pp. 813-828

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KN Superalgebras 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 June 15, 1989)

Abstract:

We consider the closed superstring interacting with external gravitational field. The Krichever-Novikov superalgebras with this gravitational field as a vertex operator are derived from the Neveu-Schwarz and Ramond superalgebras with the same gravitational field in the genus-zero case. The “interacting” BRST charge and its associated identities are also constructed over the higher-genus Riemann surface.


URL : http://ptp.ipap.jp/link?PTP/82/813/
DOI : 10.1143/PTP.82.813

[ Full Text PDF : FREE ACCESS (579K) ] Citation:

References:

  1. I. M. Krichever and S. P. Novikov, Funk. Anal. i Pril., 21, No. 2 (1987), 46; No. 4 (1987), 47.
  2. L. Bonora, M. Bregola, P. Cotta-Ramusino and M. Martellini, Phys. Lett. 205B (1988), 53.
    L. Bonora, M. Rinaldi, J. Russo and K. Wu, Phys. Lett. 208B (1988), 440.
    L. Bonora, A. Lugo, M. Matone and J. Russo, Preprint SISSA 67/88/EP.
    P. Cotta-Ramusino, M. Martellini and M. Mintchev, Phys. Lett. 215B (1988), 331.
    L. Mezincescu, R. I. Nepomechie and C. K. Zachos, Preprint UMTG-144, ANL-HEP-PR-88-23.
    A. Lugo and J. Russo, Preprint SISSA 88/EP.
    J. Russo, Preprint SISSA 105/88/EP.
    L. Bonora, M. Martellini, M. Rinaldi and K. Wu, Phys. Lett. 218B (1989), 153.
    T. Saito and K. Wu, Phys. Lett. 220B (1989), 93.
  3. G. Konisi, T. Saito and W. Takahasi, Prog. Theor. Phys. 82 (1989), 162[PTP].
  4. See also J. Alberty, A. Taormina and P. Van Baal, Commun. Math. Phys. 120 (1988), 249[CrossRef].
    L. Bonora, M. Matone and M. Rinaldi, Phys. Lett. 216B (1989), 313.
    R. Kubo, S. Ojima and S. K. Paul, Preprint RITP Hiroshima Univ., RRK-88-41.
  5. In a free case, see also L. Bonora, M. Martellini, M. Rinaldi and J. Russo, Phys. Lett. 206B (1988), 444.
  6. For example, G. Konisi, S. Ryang, T. Saito, K. Shigemoto, M. Syukawa and W. Takahasi, Prog. Theor. Phys. 76 (1986), 680, [PTP]Appendix A.

Citing Article(s) :

  1. 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
  2. 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
  3. 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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