“School of Physics”
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| Paper IPM / P / 6498 | ||||||||||||||||||||
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| Abstract: | ||||||||||||||||||||
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Usually quantum chains with quantum group symmetry are associated with
representations of quantized universal algebras Uq(g). Here we propose a
method for constructing quantum chains with Cq(G) global symmetry, where
Cq(G) is the algebra of functions on the quantum group. In particular we
will construct a quantum chain with GLq(2) symmetry which interpolates
between two classical Ising chains. It is shown that the Hamiltonian of this
chain satisfies the generalized braid group algebra.
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