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arXiv · hep-th/9403016

Quantum Chains with $GL_q(2)$ Symmetry

Masoud Alimohammadi
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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 $GL_q(2)$ 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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Masoud Alimohammadi. 1994-12-14. Quantum Chains with $GL_q(2)$ Symmetry. https://doi.org/10.1063/1.531372

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