Defect fusing rules in affine Toda field theory

Abstract

The concept of fusing rules for defects in a^(1)_r affine Toda field theories is introduced in the classical and quantum contexts. This idea is employed in finding a new transmission matrix for the a^(1)_3 theory which obeys the triangle relations and the crossing-unitarity relations.

18 pages, typos corrected, two references added

References in corpus (5)

• Quantum and classical integrable sine-Gordon model with defect
• Solving topological defects via fusion
• On purely transmitting defects in affine Toda field theory
• Comments on defects in the a_r Toda field theories
• The sine-Gordon model with integrable defects revisited

Cited by in corpus (1)

• Defects in the supersymmetric mKdV hierarchy via Backlund transformations