Timelike structures of ten-dimensional supersymmetry

Journal of High Energy Physics - 2019
Andrea Legramandi1, Luca Martucci2, Alessandro Tomasiello1
1Dipartimento di Fisica, Università di Milano-Bicocca, & INFN, sezione di Milano-Bicocca, Piazza della Scienza 3, I-20126, Milano, Italy
2Dipartimento di Fisica ed Astronomia "Galileo Galilei", Università di Padova, & INFN, Sezione di Padova, Via Marzolo 8, I-35131, Padova, Italy

Tóm tắt

Abstract In several contexts, supersymmetry can be reformulated in terms of calibrations, namely forms whose integrals measure minimal energies. It has been conjectured that this should be possible in general. For type II supergravity, we present a new system of equations which realizes this expectation. Besides the customary D-brane calibrations, it also includes NS5-brane and KK5-monopole calibrations. It is equivalent to supersymmetry under the assumption that the Killing vector associated to supersymmetry is timelike. No assumption is made on a factorization of spacetime. We also obtain a version of the system which is manifestly S-invariant and we present an application to near-horizon backgrounds. Using calibration, a definition of central charges in purely gravitational terms is given.

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