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SOLITONS ON NONCOMMUTATIVE TORUS AS ELLIPTIC CALOGERO–GAUDIN MODELS, BRANES AND LAUGHLIN WAVE FUNCTIONS
2003
International Journal of Modern Physics A
For the noncommutative torus T, in case of the N.C. parameter θ = Z/n, we construct the basis of Hilbert space H_n in terms of θ functions of the positions z_i of n solitons. The wrapping around the torus generates the algebra A_n, which is the Z_n × Z_n Heisenberg group on θ functions. We find the generators g of an local elliptic su(n), wtransform covariantly by the global gauge transformation of ABy acting on H_n we establish the isomorphism of A_ng. We embed this g into the L-matrix of the
doi:10.1142/s0217751x03014228
fatcat:gknlgusxofgabhnsd564q4c7fq