Calibrated cycles and T-duality

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.

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

References in corpus (4)

• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Special metric structures and closed forms
• Generalized Calabi-Yau structures and mirror symmetry
• The exceptional holonomy groups and calibrated geometry

Cited by in corpus (7)

• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Deformations of calibrated D-branes in flux generalized complex manifolds
• D-brane networks in flux vacua, generalized cycles and calibrations
• Seeing through the String Landscape - a String Hunter's Companion in Particle Physics and Cosmology
• Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds
• Supersymmetric D-branes on flux backgrounds
• Calibrations on spaces with GxG-structure