Titlebook: Geometry and Theoretical Physics; Joachim Debrus,Allen C. Hirshfeld Textbook 1991 Springer-Verlag Berlin Heidelberg 1991 Feldtheorie.Geome

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,Infinite Dimensional Algebras and (2+1)-Dimensional Field Theories: Yet Another View of gl(∞); Someang-Baxter algebras [1] constitute the relevant structure underlying (1+1)-dimensional integrable models; in addition, their relation to braid groups, the theory of knots and links, and the exchange algebras of (1+1)-dimensional conformal field theories [2] is by now well understood. Secondly, defor

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All Solutions of the Wess-Zumino Consistency Conditions,ibe the main algebraic tools and theorems required for this complete classification. Our results answer the question whether in nonrenormalizable gauge theories there exist additional up-to-now unknown anomalies in the negative.

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Modular Invariance, Causality and the ,-Theorem,- Vilkovisky method is used to construct the corresponding field theory, and its dimensional reduction by the Parisi-Sourlas mechanism is proven. We show that a certain element in the identity component of the .(., 2) subgroup of .(., 2∣2) induces the .-transformation in the physical subspace. We cl

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Knots and Their Links with Biology and Physics, such discoveries was triggered in 1984 and is still rolling. It all started with a bridge between knot theory and the theory of von Neumann algebras: the Jones polynomials. Within one year biologists recognized the usefulness of these polynomials for the classification of the enzymes transforming o

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