Grassmann Algebraic Approach to the Neveu-Schwarz Model and Representation of Super-Mobius Algebra
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概要
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On the basis of new integral representation proposed by Fairlie and Martin, we develop a manifestly super-gauge invariant formulation of the Neveu-Schwarz model. We show that the Fairlie-Martin representation is invariant under wider transformations (super-Mobius transformations) than the usual Mobius transformations. The corresponding algebra (super-Mobius algebra) is a closed subalgebra of the super-gauge algebra. The operator formalism is reconstructed as a representation of the super-Mobius 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 confofmal transformations. Finally we discuss briefly the general representation theory of the super-Mobius 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.
- 一般社団法人日本物理学会の論文
- 1975-08-25
著者
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YONEDA Tetsuya
Department of Physics, Kumamoto University
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Yoneya Tamiaki
Department of Physics, Hokkaido University
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