Comments on defects in the a_r Toda field theories
E. Corrigan, C. Zambon
TL;DR
This paper investigates the conditions under which a_r affine and conformal Toda field theories can support integrable defects, providing new transmission matrix solutions that extend known models like sine-Gordon.
Contribution
It introduces a simple energy-momentum based argument to determine defect conditions and derives generalized transmission matrices for a_r Toda theories.
Findings
Derived conditions for integrable defects in a_r Toda theories.
Provided explicit solutions for transmission matrices.
Extended known models to more general a_r cases.
Abstract
A simple, basic, argument is given, based solely on energy-momentum considerations to recover conditions under which a_r affine or conformal Toda field theories can support defects of integrable type. Associated triangle relations are solved to provide expressions for transmission matrices that generalize previously known examples calculated for the sine-Gordon model and the a_2 affine Toda model.
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