Global Aspects of the WZNW Reduction to Toda Theories

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概要

• 論文の詳細を見る

• It is well known that the Toda theories can be obtained by reduction from the Wess-Zumino-Novikov-Witten (WZNW) model, but it is less known that this WZNW → Toda reduction is `incomplete'. The reason for this incompleteness is that the Gauss decomposition used to define the Toda fields from the WZNW field is valid locally but not globally over the WZNW group manifold, which implies that actually the reduced system is not just the Toda theory but has much richer structures. In this note we furnish a framework which allows us to study the reduced system globally, and thereby present some preliminary results on the global aspects. For simplicity, we analyze primarily 0+1 dimensional toy models for G=SL(n, R), but we also discuss the 1+1 dimensional model for G=SL(2, R) which corresponds to the WZNW → Liouville reduction.

• 理論物理学刊行会の論文
• 1995-06-26

著者

• Tsutsui Izumi

  Institute For Nuclear Study University Of Tokyo

• Feher Laszlo

  Laboratoire De Physique Theorique Ens De Lyon : Theoretical Physics Department Of Szeged University

関連論文

• Spectral Properties on a Circle with a Singularity
• Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions : General Physics
• Spectral Properties on a Circle with a Singularity
• Quantum force due to distinct boundary conditions(Quantum Field Theories: Fundamental Problems and Applications)
• Global Aspects of the WZNW Reduction to Toda Theories

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