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Titlebook: Lie Theory and Its Applications in Physics; Varna, Bulgaria, Jun Vladimir Dobrev Conference proceedings 2016 Springer Nature Singapore Pte

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Special Conformal Transformations and Contact Termsormal field theory correlators. I show a few examples of covariant correlators in dimension 2 and 3 dimensions and in particular of those made of pure contact terms. I discuss in some detail the odd parity correlator in 3d and its connection with the gravitational Chern–Simons theory in 3d.
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Sphere Partition Functions and the Kähler Metric on the Conformal Manifold a manifold, ., of Superconformal Field Theories. The space . is argued to be a Kähler manifold. We further argue that upon a stereographic projection of . to ., the partition function . measures the Kähler potential. These results are established by a careful study of the interplay between conformal anomalies and the space ..
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Higher-Dimensional Unified Theories with Continuous and Fuzzy Coset Spaces as Extra Dimensionsgauge theory reduced over the nearly-Kähler manifold .. Then, we present the adjustment of the CSDR programme in the case that the extra dimensions are considered to be fuzzy coset spaces and then, the best model constructed in this framework, too, which is the trinification GUT, ..
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Large Volume Supersymmetry Breaking Without Decompactification Problemngy Scherk-Schwarz mechanism. We review how the effective gauge couplings at 1-loop may evade the “decompactification problem”, namely the proportionality of the gauge threshold corrections, with the large volume of the compact space involved in the supersymmetry breaking.
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Lie Theory and Its Applications in Physics978-981-10-2636-2Series ISSN 2194-1009 Series E-ISSN 2194-1017
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Vladimir DobrevPresents a uniquely equal and balanced representation of mathematicians, mathematical physicists, and theoretical physicists.Serves as an interface of the scientific interests and methods of these gro
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