Calibrated cycles and T-duality

Details Calibrated cycles and T-duality Calibrated cycles and T-duality

2006-05-29

arxiv.org/abs/math/0605710v5

Commun.Math.Phys.283:543-578,2008

Mathematics

Differential Geometry

43 pages. v4: formalism and T-duality part considerably expanded

Scientific paper

10.1007/s00220-008-0571-9

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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