Non-Canonical Folding of Dynkin Diagrams and Reduction of Affine Toda Theories

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概要

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• The equation of motion of affine Toda field theory is a coupled equation for r fields, r is the rank of the underlying Lie algebra. Most of the theories admit reduction, in which the equation is satisfied by fewer than r fields. The reductions in the existing literature are achieved by identifying (folding) the points in the Dynkin diagrams which are connected by symmetry (automorphism). In this paper we present many new reductions. In other words, the symmetry of affine Dynkin diagrams could be extended and it leads to non-canonical foldings. We will show that eventually most of the theories end up in a^<(2)>_<2n> that is the theory cannot have a further dimension m reduction where m<n.

• 理論物理学刊行会の論文
• 1996-03-25

著者

• SASAKI Ryu

  Yukawa Institute for Theoretical Physics, Kyoto University

• Sasaki R

  Kyoto Univ. Kyoto Jpn

• Sasaki Ryu

  Yukawa Institute For Theoretical Physics Kyoto University

• Khastgir S.

  Yukawa Institute For Theoretical Physics Kyoto University

• Sasaki Ryu

  Max-planck-institute Fur Physik Und Astrophysik

• Khastgir S.Pratik

  Yukawa Institute for Theoretical Physics, Kyoto University

• SASAKI Ryu

  Uji Research Center, Yukawa Institute for Theoretical Physics Kyoto University:Department of Mathematical Sciences, University of Durham

• Khastgir S.Pratik

  Yukawa Institute for Theoretical hysics, Kyoto University

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