Symmetries of the Dissipative Hofstadter Model

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The dissipative Hofstadter model, which describes a particle in 2-D subject to a periodic potential, uniform magnetic field, and dissipation, is also related to open string boundary states. This model exhibits an SL(2,Z) duality symmetry and hidden reparametrization invariance symmetries. These symmetries are useful for finding exact solutions for correlation functions.
5 pages, one figure included. Talk presented at the Strings '93 conference in Berkeley, May 1993, CTP\#2251

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