Calibrations and T–Duality

2006/05/31 by Florian Gmeiner, Frederik Witt
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Computer science #Construct (python library) #Duality (order theory) #Geology #Geometry #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #String (physics) #String theory #Submanifold #T-duality #Theoretical physics #Type (biology) #hep-th #math.DG #msc:53C10 #msc:53C27 #msc:53C38 #msc:81T30 #msc:83E50

paper · pdf · doi:10.1007/s00220-008-0571-9

published as Commun.Math.Phys.283:543-578,2008 · 43 pages. v4: formalism and T-duality part considerably expanded

openalex publication_date 2008/07/22 · arxiv created 2008/08/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Supersymmetric D-branes and calibrations on general Script N = 1 backgrounds
• Lectures on D-branes
• Geometry of D-branes for General N=(2,2) Sigma Models
• Mirror symmetry is T-duality
• Generalized N=1 orientifold compactifications and the Hitchin functionals
• Special metric structures and closed forms
• T-Duality: Topology Change from H-Flux
• κ-symmetry, supersymmetry and intersecting branes
• ON THE TOPOLOGY OF T-DUALITY
• Calibrated geometries
• Generalized Calabi-Yau Manifolds