Quantum Chains with $G{L}_q(2)$ Symmetry

Abstract

Usually quantum chains with quantum group symmetry are associated with representations of quantized universal algebras $U_q(g)$ . Here we propose a method for constructing quantum chains with $C_q(G)$ global symmetry , where $C_q(G)$ is the algebra of functions on the quantum group. In particular we will construct a quantum chain with $G{L}_q(2)$ symmetry which interpolates between two classical Ising chains.It is shown that the Hamiltonian of this chain satisfies in the generalised braid group algebra.

7 pages,latex,this is the completely revised version of my paper which is submitted for publication

References in corpus (5)

• A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field
• Quantum Groups, Correlation Functions and Infrared Divergences
• Quantum Chains with U_q(SL(2)) Symmetry and Unrestricted Representations
• Representations of the quantum matrix algebra $M_{q,p}(2)$
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Cited by in corpus (2)

• Analytic regularization of the Yukawa Model at Finite Temperature
• Dipper-Donkin algebra as global symmetry of quantum chains