ar X iv : 0 80 9 . 27 34 v 3 [ he p - th ] 2 1 M ay 2 00 9 Boundary Lax pairs for the A ( 1 ) n Toda field theories
نویسنده
چکیده
Based on the recent formulation of a general scheme to construct boundary Lax pairs, we develop this systematic construction for the A (1) n affine Toda field theories (ATFT). We work out explicitly the first two models of the hierarchy, i.e. the sineGordon (A (1) 1 ) and the A (1) 2 models. The A (1) 2 Toda theory is the first non-trivial example of the hierarchy that exhibits two distinct types of boundary conditions. We provide here novel expressions of boundary Lax pairs associated to both types of boundary conditions. [email protected] [email protected]
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