Null-plane quantum universal R-matrix
نویسندگان
چکیده
منابع مشابه
0 M ay 1 99 6 ( 2 + 1 ) null - plane quantum Poincaré group from a factorized universal R - matrix
The non-standard (Jordanian) quantum deformations of so(2, 2) and (2+1) Poincaré algebras are constructed by starting from a quantum sl(2, IR) basis such that simple factorized expressions for their corresponding universal R-matrices are obtained. As an application, the null-plane quantum (2+1) Poincaré Poisson-Lie group is quantized by following the FRT prescription. Matrix and differential re...
متن کاملUniversal R-matrix for Non-standard Quantum Sl(2, Ir)
A universal R-matrix for the non-standard (Jordanian) quantum deformation of sl(2, IR) is presented. A family of solutions of the quantum Yang– Baxter equation is obtained from some finite dimensional representations of this Lie bialgebra quantization of sl(2, IR). The quantum Yang–Baxter equation (YBE) R12R13R23 = R23R13R12. (1) was discovered to play a relevant role as the integrability condi...
متن کاملExotic Quantum Double,Its Universal R-matrix And Their Representations
The exotic quantum double and its universal R-matrix for quantum Yang-Baxter equation are constructed in terms of Drinfeld’s quantum double theory.As a new quasi-triangular Hopf algebra, it is much different from those standard quantum doubles that are the q-deformations for Lie algebras or Lie superalgebras. By studying its representation theory,many-parameter representations of the exotic qua...
متن کاملA New “Null-Plane” Quantum Poincaré Algebra
A new quantum deformation, which we call null-plane, of the (3+1) Poincaré algebra is obtained. The algebraic properties of the classical null-plane description are generalized to this quantum deformation. In particular, the classical isotopy subalgebra of the null-plane is deformed into a Hopf subalgebra, and deformed spin operators having classical commutation rules can be defined. Quantum Ha...
متن کاملIntegral Presentations for the Universal R - matrix
We present an integral formula for the universal R -matrix of quantum affine algebra Uq(ĝ) with ’Drinfeld comultiplication’. We show that the properties of the universal R -matrix follow from the factorization properties of the cycles in proper configuration spaces. For general g we conjecture that such cycles exist and unique. For Uq(ŝl2) we describe precisely the cycles and present a new simp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 1997
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(96)01435-9