Abstract
The connection between an infinite set of symmetries and Kramers-Wannier dual transformations is studied. A proof is given for the existence of hidden symmetry in the three Euclidean dimensional functional formulation of Yang-Mills theory. The similarity of this path dependent formalism with the ‘t Hooft order-disorder dual parameters is discussed. A simple model, the one dimensional XYZ spin chain, which has both an infinite set of quantum conserved charges and a Kramers-Wannier like transformation is identified.
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References
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M. Grady, in preparation.
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Dolan, L. (1981). Dual Variables and Conserved Currents. In: Perlmutter, A. (eds) Gauge Theories, Massive Neutrinos and Proton Decay. Studies in the Natural Sciences, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1107-2_9
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DOI: https://doi.org/10.1007/978-1-4684-1107-2_9
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