Geometrical Surfaces Relevant to the Sinh-Gordon and the Liouville-Toda Equation : Condensed Matter and Statistical Physics

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概要

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• By use of the same metric system, it is shown that there exists a class of surfaces associated with the sinh-Gordon and Liouville-Toda equations, characterized by the total curvature and the mean curvature. In our framework of the sinh-Gordon case, however, the total curvature does not appear constant: The relationship with the case of the usual treatment of the sine-Gordon equation is therefore elucidated. The mean curvature of the surface relevant to the Liouville-Toda system proves to be vanishing, so the surface being the minimal one. This leads us to a quantum Lagrangian formalism which is furnished by the Virasoro algebra.

• 理論物理学刊行会の論文
• 1985-12-25

著者

• MINAMI Masatsugu

  RIMS, Kyoto University

• Minami Masatsugu

  Rims Kyoto University

関連論文

• Dual of the Non-Planar Tetrahedron Graph
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