Quantum Chains with $GL_q(2)$ Symmetry

Details Quantum Chains with $GL_q(2)$ Symmetry Quantum Chains with $GL_q(2)$ Symmetry

1994-03-03

arxiv.org/abs/hep-th/9403016v2

J.Math.Phys. 37 (1996) 1-5

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1063/1.531372

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 $GL_q(2)$ symmetry which interpolates between two classical Ising chains.It is shown that the Hamiltonian of this chain satisfies in the generalised braid group algebra.

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