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Preprints Archive: Abstract of IC2010023 (2010)

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Nonultralocal quantum algebra and 1D anyonic quantum integrable models

by Anjan Kundu

Document info: Pages 10, Figures 0.

Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz, solvable 1D anyon lattice and field models are constructed. Along with known models we discover novel lattice anyon and q-anyon models as well as nonlinear Schodinger equation (NLS) and the derivative NLS anyon quantum field models, N-particle sectors of which yield the well-known anyon gases, interacting through $\delta$ and derivative $\delta$ function potentials. As a byproduct we discover a new anyon quantum group Hopf algebra with unusual braided multiplication.

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