Boundary Lax pairs for the Toda field theories
نویسندگان
چکیده
منابع مشابه
Boundary Lax pairs for the A ( 1 ) n Toda field theories
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 type...
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A simple, basic, argument is given, based solely on energy-momentum considerations to recover conditions under which ar 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 a2 affine Toda model...
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Generic classically integrable boundary conditions for the A (1) n affine Toda field theories (ATFT) are investigated. The present analysis relies primarily on the underlying algebra, defined by the classical version of the reflection equation. We use as a prototype example the first non-trivial model of the hierarchy i.e. the A (1) 2 ATFT, however our results may be generalized for any A (1) n...
متن کاملToda field theories with integrable boundary conditions revisited
Generic classically integrable boundary conditions for the A (1) n affine Toda field theories (ATFT) are investigated. The present analysis rests primarily on the underlying algebra, defined by the classical version of the reflection equation. We use as a prototype example the first non-trivial model of the hierarchy i.e. the A (1) 2 ATFT, however our results may be generalized for any A (1) n ...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2009
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2009.05.010