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\(U\) duality and central charges in various dimensions revisited.(English)Zbl 0921.53052

Summary: A geometric formulation which describes extended supergravities in any dimension in the presence of electric and magnetic sources is presented. In this framework, the underlying duality symmetries of the theories are manifest. Particular emphasis is given to the construction of central and matter charges and to the symplectic structure of all \(D = 4\), \(N\)-extended theories. The latter may be traced back to the existence, for \(N > 2\), of a flat symplectic bundle which is the \(N > 2\) generalization of \(N = 2\) special geometry.

MSC:

53Z05 Applications of differential geometry to physics
83E50 Supergravity
83E30 String and superstring theories in gravitational theory
81T60 Supersymmetric field theories in quantum mechanics
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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