Boundary Lax pairs for the $A {n}^{1}$ Toda field theories - High Energy Physics - TheoryReport as inadecuate




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Abstract: Based on the recent formulation of a general scheme to construct boundary Laxpairs,we develop this systematic construction for the $A n^{1}$ affine Todafield theories ATFT. We work out explicitly the first two models of thehierarchy, i.e. the sine-Gordon $A 1^{1}$ and the $A 2^{1}$ models. The$A 2^{1}$ Toda theory is the first non-trivial example of the hierarchy thatexhibits two distinct types of boundary conditions. We provide here novelexpressions of boundary Lax pairs associated to both types of boundaryconditions.



Author: Jean Avan, Anastasia Doikou

Source: https://arxiv.org/



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