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Prog. Theor. Phys. Vol. 86 No. 1 (1991) pp. 229-242

[ Full Text PDF : FREE ACCESS (464K) ]

Super Schwarzian Connections in Krichever-Novikov Superalgebras

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 November 27, 1990)

Abstract:

In the local operator approach to higher-genus super Riemann surfaces we introduce the super Schwarzian connection into super stress-energy tensors, by means of which Krichever-Novikov superalgebras and the new BRST charge are derived in coordinate-independent forms.


URL : http://ptp.ipap.jp/link?PTP/86/229/
DOI : 10.1143/PTP.86.229

[ Full Text PDF : FREE ACCESS (464K) ] Citation:

References:

  1. I. M. Krichever and S. P. Novikov, Funk. Anal. Pril. 21 No. 2 (1987), 46; ibid. 21 No. 4 (1987), 47.
  2. L. Mezincescu, R. I. Nepomechie and C. K. Zachos, Preprint ANL-HEP-PR-88-23.
    J. Alberty, A. Taormina and P. Van Baal, Preprint CERN-TH 5068/88.
    R. Kubo, S. Ojima and S. K. Paul, Preprint RITP Hiroshima Univ., PPK-88-41 (the present address is Yukawa Institute for Theoretical Physics, Kyoto Univ., Uji, Kyoto).
    G. Konisi, T. Saito and W. Takahasi, Prog. Theor. Phys. 82 (1989), 162[PTP]; ibid. 82 (1989), 813[PTP].
  3. T. Saito, Prog. Theor. Phys. 85 (1991), 705[PTP]; ibid. 85 (1991), 743[PTP].
  4. D. Friedan, “Notes on String Theory and Two Dimensional Conformal Field Theory”, in Workshop on Unified String Theories, ed. M. Green and D. Gross (World Scientific, 1985).
    S. Matsuda and T. Uematsu, Mod. Phys. Lett. A5 (1990), 841.
    S. Matsuda, “Comments on Super Schwarzian Derivatives”, Proc. of the KEK Workshop on Topology, Field Theory and Superstring Theory, KEK, Tsukuba, Nov. 6-10, 1989 (KEK 89-22, 1990), p. 87.
  5. L. Bonora, M. Martellini, M. Rinaldi and J. Russo, Phys. Lett. 206B (1988), 444.
  6. L. Bonora, A. Lugo, M. Matone and J. Russo, SISSA Preprint (May 1988).
  7. The elements Li with |i| ≤(3 g/2) - 2 and Ga with |a| < g - (1/2) are responsible for the super Teichmüller deformations of complex structure of the super Riemann surface. However, in a local patch on Σ these elements themselves do not give rise directly such deformations; they still play a role of generators of superconformal transformations. For this point, see Ref. 6), Konisi et al. in Ref. 2), and W. Takahasi, Prog. Theor. Phys. 84 (1990), 63[PTP].
  8. G. Konisi, T. Saito and W. Takahasi, Prog. Theor. Phys. 79 (1988), 1412[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 87 No. 5 (1992) pp. 1065-1073 :
    Construction of Super Schwarzian Connection in Conformal Field Theories on Higher-Genus Super Riemann Surfaces
    Gaku Konisi, Takesi Saito and Wataru Takahasi
  2. Progress of Theoretical Physics Vol. 92 No. 4 (1994) pp. 889-903 :
    Super Differential Forms on Super Riemann Surfaces
    Gaku Konisi, Takesi Saito and Wataru Takahasi

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