Abstract
Master symmetries, found by Barouch and Fuchssteiner for a finite size XY model with the help of a computer program, are mathematically analyzed for an infinitely extended XY model by a rigorous operator algebraic method with an easy computation. The infinite family of commuting Hamiltonians and the master symmetries generating them form an infinite dimensional Lie group of automorphisms of aC *-algebra of observables for the model.
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Communicated by A. Jaffe
Dedicated to Res Jost and Arthur Wightman
Supported in part by Mombusho International Scentific Research Program
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Araki, H. Master symmetries of the XY model. Commun.Math. Phys. 132, 155–176 (1990). https://doi.org/10.1007/BF02278005
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DOI: https://doi.org/10.1007/BF02278005