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Supersymmetric extension of the nine-dimensional continuation of the Euler density with \(\mathcal N=2\).(English)Zbl 1247.81471

Summary: A local supersymmetric extension with \(N=2\) of the dimensional continuation of the Euler-Gauss-Bonnet density from eight to nine dimensions is constructed. The gravitational sector is invariant under local Poincaré translations, and the full field content is given by the vielbein, the spin connection, a complex gravitino, and an abelian one-form. The local symmetry group is shown to be super Poincaré with \(N=2\) and a \(U(1)\) central extension, and the full supersymmetric Lagrangian can be written as a Chern-Simons form.

MSC:

81T60 Supersymmetric field theories in quantum mechanics

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References:

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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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