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Titlebook: Lie Theory and Its Applications in Physics; Varna, Bulgaria, Jun Vladimir Dobrev Conference proceedings 2014 Springer Japan 2014 (Super-)Gr

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Vector-Valued Covariant Differential Operators for the Möbius Transformatione particular differential operators of arbitrary order attached to Gegenbauer polynomials. These differential operators are symmetry breaking for the pair of Lie groups . that arise from conformal geometry.
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The D-Brane Charges of ,,/,eory description of D-branes, i.e. the charge equation. Using this approach, we work out the charge groups for the non-simply connected group ., which requires knowing the NIM-rep of the underlying conformal field theory.
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Revisiting Trace Anomalies in Chiral Theoriesossibility that such anomalies may contain not yet considered CP violating terms. The research consists of various stages. In the first stage we examine chiral theories at one-loop with external gravity and show that a (CP violating) Pontryagin term appears in the trace anomaly in the presence of an
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Complete T-Dualization of a String in a Weakly Curved Backgroundsed of a constant metric and a linearly coordinate dependent Kalb-Ramond field with the infinitesimal strength. In this way we obtain the partially T-dualized action. Applying the procedure to the rest of the original coordinates we obtain the totally T-dualized action. This derivation allows the in
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Modular Double of the Quantum Group ,ual objects: .-deformation of the algebra . of functions on the Lie group and that for the universal enveloping algebra . of the corresponding Lie algebra. See Faddeev [1] for the short history. It is instructive to stress, that the construction of .-deformation originates in the theory of the quant
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