ar X iv : h ep - t h / 93 11 02 7 v 1 4 N ov 1 99 3 YITP / U - 93 - 33 Reflection Bootstrap Equations for Toda Field
نویسنده
چکیده
Uji Research Center Yukawa Institute for Theoretical Physics Kyoto University, Uji 611, Japan Abstract An algebraic approach to integrable quantum field theory with a boundary (a half line) is presented and interesting algebraic equations, Reflection equations (RE) and Reflection Bootstrap equations (RBE) are discussed. The Reflection equations are a consistent generalisation of Yang-Baxter equations for factorisable scatterings on a half line (or with a reflecting boundary). They determine the so-called reflection matrices. However, for Toda field theory and/or other theories with diagonal S-matrices, the Reflection-Bootstrap equations proposed by Fring and Köberle determine the reflection matrices, since the reflection equations and the Yang-Baxter equations become trivial in these cases. The explicit forms of the reflection matrices together with their symmetry properties are given for various Toda field theories, simply laced and non-simply laced.
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