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Calibrated cycles and T-duality

Florian Gmeiner·Frederik Witt
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Abstract

For Hitchin's generalised geometries we introduce and analyse the concept of a structured submanifold which encapsulates the classical notion of a calibrated submanifold. Under a suitable integrability condition on the ambient geometry, these generalised calibrated cycles minimise a functional occurring as D-brane energy in type II string theories, involving both so-called NS-NS- and R-R-fields. Further, we investigate the behaviour of calibrated cycles under T-duality and construct non-trivial examples.

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Florian Gmeiner, Frederik Witt. 2008-08-23. Calibrated cycles and T-duality. https://doi.org/10.1007/s00220-008-0571-9

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