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Prog. Theor. Phys. Vol. 54 No. 2 (1975) pp. 526-541

[ Full Text PDF : FREE ACCESS (1165K) ]

Grassmann Algebraic Approach to the Neveu-Schwarz Model and Representation of Super-Möbius Algebra

Tamiaki Yoneya

Department of Physics, Hokkaido University, Sapporo

(Received November 5, 1974)

Abstract:

On the basis of new integral representation proposed by Fairlie and Martin, we develop a mainfestly super-gauge invariant formulation of the Neveu-Schwarz model. We show that the Fairlie-Martin representation is invariant under wider transformations (super-Möbius transformations) than the usual Möbius transformations. The corresponding algebra (super-Möbius algebra) is a closed subalgebra of the super-gauge algebra. The operator formalism is reconstructed as a representation of the super-Möbius algebra. As a generalization of our formulation, we introduce closed-string emission vertices for the Neveu-Schwarz open-string which are manifestly covariant under the super-gauge transformations as well as the conformal transformations. Finally we discuss briefly the general representation theory of the super-Möbius algebra. Unfortunately, the representation appeared in the Neveu-Schwarz model is essentially unique as the representation of the full super-gauge algebra. However, two types of the mass spectrum are possible.


URL : http://ptp.ipap.jp/link?PTP/54/526/
DOI : 10.1143/PTP.54.526

[ Full Text PDF : FREE ACCESS (1165K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 55 No. 1 (1976) pp. 280-286 :
    Supergauge Algebra and Interaction between Open and Closed Strings
    Gaku Konisi and Takesi Saito
  2. Progress of Theoretical Physics Vol. 106 No. 3 (2001) pp. 645-652 :
    Interaction between Noncommutative Open Strings and Closed-String Tachyons
    Akira Kokado, Gaku Konisi and Takesi Saito
  3. Progress of Theoretical Physics Vol. 107 No. 6 (2002) pp. 1235-1243 :
    NS Open Strings with B Fields and Their Interactions with NS Closed Strings
    Akira Kokado, Gaku Konisi and Takesi Saito

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