Solutions of Discretized Affine Toda Field Equations for A^(1)_n,B^(1)_n,C^(1)_n,D^(1)_n,A^(2)_n,and D^(2)_<n+1>

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概要

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• It is known that a family of transfer matrix functional equations, the T-systern, can be corn-pactly written in terms of the Cartan matrix of a simple Lie algebra. We formally replace thisCartan matrix of a simple Lie algebra with that of an affine Lie algebra, and then we obtain asystem of functional equations different from the T-system. It may be viewed as an X!;" typeaffine Toda field equation on discrete space tirne. We present, for AN', B!?", C';", DL", A':'and D"' its solutions in terms of determinants or Pfaffians.n% 1 i

• 社団法人日本物理学会の論文
• 1997-11-15

著者

• Tsuboi Zengo

  Institute Of Physics University Of Tokyo

関連論文

• Solutions of Discretized Affine Toda Field Equations for A^(1)_n,B^(1)_n,C^(1)_n,D^(1)_n,A^(2)_n,and D^(2)_
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