Reflection–Transmission Quantum Yang–Baxter Equations
نویسندگان
چکیده
We explore the reflection–transmission quantum Yang–Baxter equations, arising in factorized scattering theory of integrable models with impurities. The physical origin of these equations is clarified and three general families of solutions are described in detail. Explicit representatives of each family are also displayed. These results allow to establish a direct relationship with the different previous works on the subject and make evident the advantages of the reflection– transmission algebra as an universal approach to integrable systems with impurities. IFUP-TH 36/2004 LAPTH-1078/04 hep-th/0412159 [email protected] [email protected] [email protected] [email protected]
منابع مشابه
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
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 equ...
متن کامل1 8 M ay 2 00 0 Lectures on the dynamical Yang - Baxter equations
This paper arose from a minicourse given by the first author at MIT in the Spring of 1999, when the second author extended and improved his lecture notes of this minicourse. It contains a systematic and elementary introduction to a new area of the theory of quantum groups – the theory of the classical and quantum dynamical Yang-Baxter equations. The quantum dynamical Yang-Baxter equation is a g...
متن کاملJunction Type Representations of the Temperley–Lieb Algebra and Associated Symmetries
Inspired by earlier works on representations of the Temperley–Lieb algebra we introduce a novel family of representations of the algebra. This may be seen as a generalization of the so called asymmetric twin representation. The underlying symmetry algebra is also examined and it is shown that in addition to certain obvious exact quantum symmetries non trivial quantum algebraic realizations that...
متن کاملTwisted Yang-Baxter equations for linear quantum (super)groups
We consider the modified (or twisted) Yang-Baxter equations for the SLq(N) groups and SLq(N |M) supergroups. The general solutions for these equations are presented in the case of the linear quantum (super)groups. The introduction of spectral parameters in the twisted Yang-Baxter equation and its solutions are also discussed. Permanent address: Bogoliubov Laboratory of Theoretical Physics, JINR...
متن کاملar X iv : m at h / 02 08 04 3 v 1 [ m at h . Q A ] 6 A ug 2 00 2 QUANTUM AFFINE
Quantum affine reflection algebras are coideal subalgebras of quantum affine algebras that lead to trigonometric reflection matrices (solutions of the boundary Yang-Baxter equation). In this paper we use the quantum affine reflection algebras of type d (1) n to determine new n-parameter families of non-diagonal reflection matrices. These matrices describe the reflection of vector solitons off t...
متن کامل