Stable D-branes, calibrations and generalized Calabi-Yau geometry

Abstract

We introduce generalized calibrations that take into account the gauge field on the D-brane so that calibrated submanifolds minimize the Dirac-Born-Infeld energy. We establish the calibration bound and show that the calibration form is closed in a supersymmetric background with non-vanishing NS-NS 3-form H and dilaton. We show that the calibration conditions are equivalent to the existence of unbroken supersymmetry on the D-brane. We study the problem of supersymmetric D-branes in the presence of non-vanishing H also from the world-sheet approach and find exactly the same conditions. Finally, we show that our notion of generalized calibrations is equivalent to the calibrations introduced in the context of generalized Calabi-Yau geometry in math.DG/0401221.

24 pages, LaTeX, JHEP style

References in corpus (5)

• Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
• Generalised $G_2$-structures and type IIB superstrings
• Branes on Generalized Calibrated Submanifolds
• Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models
• Isotropic A-branes and the stability condition

Cited by in corpus (74)

• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• From ten to four and back again: how to generalize the geometry
• D-branes on general N=1 backgrounds: superpotentials and D-terms
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Supersymmetric D-branes and calibrations on general N=1 backgrounds
• Lectures on Generalized Complex Geometry for Physicists
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Towards de Sitter from 10D
• Supersymmetric sources, integrability and generalized-structure compactifications
• Magnetized E3-brane instantons in F-theory
• A note on the holography of Chern-Simons matter theories with flavour
• Deformations of calibrated D-branes in flux generalized complex manifolds
• Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory
• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• On moduli and effective theory of N=1 warped flux compactifications
• Brane Effective Actions, Kappa-Symmetry and Applications
• Refining the boundaries of the classical de Sitter landscape
• Open problems on classical de Sitter solutions
• T-duality with H-flux: non-commutativity, T-folds and G x G structure
• D-branes on AdS flux compactifications
• D6-branes and torsion
• D-brane networks in flux vacua, generalized cycles and calibrations
• Generalized Kaehler Potentials from Supergravity
• On the Conformal Field Theory Duals of type IIA AdS_4 Flux Compactifications
• Kähler moduli stabilization from ten dimensions
• Area metric gravity and accelerating cosmology
• Canonical differential geometry of string backgrounds
• On classical de Sitter and Minkowski solutions with intersecting branes
• Brane instantons and fluxes in F-theory
• D-branes in Generalized Geometry and Dirac-Born-Infeld Action
• SL(5) duality from canonical M2-brane
• On D-brane moduli stabilisation
• Reducing democratic type II supergravity on SU(3) x SU(3) structures
• T-duality and Generalized Kahler Geometry
• Domain walls from ten dimensions
• M5 algebra and SO(5,5) duality
• Generalized geometry, calibrations and supersymmetry in diverse dimensions
• AdS4 flux vacua in type II superstrings and their domain-wall solutions
• Electrified branes
• New supersymmetric vacua on solvmanifolds
• Calibrated cycles and T-duality
• New N = (2, 2) vector multiplets
• IIB supergravity on manifolds with SU(4) structure and generalized geometry
• No-scale supersymmetry breaking vacua and soft terms with torsion
• On the geometry of string duals with backreacting flavors
• A no-go theorem for monodromy inflation
• Gaugino mass term for D-branes and Generalized Complex Geometry
• Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds
• Twisted Homology
• Radiation-dominated area metric cosmology
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• Warped generalized geometry compactifications, effective theories and non-perturbative effects
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• Compact G2 holonomy spaces from SU(3) structures
• The lift of type IIA supergravity with D6 sources: M-theory with torsion
• Poisson-generalized geometry and $R$-flux
• Type IIA orientifold compactification on SU(2)-structure manifolds
• Tachyon condensation and D-branes in generalized geometries
• Supersymmetric D-branes on flux backgrounds
• Domain wall flow equations and SU(3)xSU(3) structure compactifications
• Supersymmetric D-branes on SU(2) structure manifolds
• Highly Effective Action from Large N Gauge Fields
• Timelike structures of ten-dimensional supersymmetry
• Supersymmetric branes on curved spaces and fluxes
• AdS Vacua, Attractor Mechanism and Generalized Geometries
• A Landscape of Field Theories
• Special holonomy sigma models with boundaries
• Calibrations on spaces with GxG-structure
• SL(2,R) covariant conditions for N=1 flux vacua
• Coisotropic D-branes on AdS4 x CP3 and massive deformations
• Kappa symmetry, generalized calibrations and spinorial geometry
• Holographic Effective Field Theories
• Non-supersymmetric heterotic strings on $Ad{S}_4\times S^3\times S^3$
• On the effective theory of type IIA AdS_4 compactifications