Titlebook: Integrable Models and Strings; Proceedings of the 3 Anton Alekseev,Antero Hietamäki,Antti Niemi Conference proceedings 1994 Springer-Verlag

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A lecture on the Calogero-Sutherland models,owing: 1) The Calogero-Sutherland Hamiltonien and fractional stastistics. The form factor of the density operator. 2) The Dunkl operators and their relations with monodromy matrices, Yangians and affine-Hecke algebras. 3) The Haldane-Shastry chain in connection with the Calogero-Sutherland Hamiltoni

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小卒

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On supersymmetric and topological quantum mechanical models, more sophisticated models based on the gauge fixing of topological invariants. The first model is a supersymmetric quantum mechanical system defined on a punctured plane and leads to topological observables which we compute. The absences of a ground state and of a mass gap are special features of t

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String theory and classical integrable systems,string vacua altogether is demonstrated on the examples in 2. conformal, topological and matrix formulations. The last one naturally brings us to the appearance of classical integrable systems in string theory. Physical meaning of the appearing structures is discussed and some attempts to find direc

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On background independence in string theory,tring Field Theory action in conformal perturbation theory to second order and demonstrate that the proper treatment of contact terms leads to non-trivial equations of motion. I conjecture the form of the field theory action to all orders.

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