Kappa symmetry, generalized calibrations and spinorial geometry

Abstract

We extend the spinorial geometry techniques developed for the solution of supergravity Killing spinor equations to the kappa symmetry condition for supersymmetric brane probe configurations in any supergravity background. In particular, we construct the linear systems associated with the kappa symmetry projector of M- and type II branes acting on any Killing spinor. As an example, we show that static supersymmetric M2-brane configurations which admit a Killing spinor representing the SU(5) orbit of $Spin(10,1)$ are generalized almost hermitian calibrations and the embedding map is pseudo-holomorphic. We also present a bound for the Euclidean action of M- and type II branes embedded in a supersymmetric background with non-vanishing fluxes. This leads to an extension of the definition of generalized calibrations which allows for the presence of non-trivial Born-Infeld type of fields in the brane actions.

9 pages, latex, references added and minor changes

References in corpus (28)

• Fivebranes, Membranes and Non-Perturbative String Theory
• Super D-branes
• Covariant Action for the Super-Five-Brane of M-Theory
• The Dirichlet Super-p-Branes in Ten-Dimensional Type IIA and IIB Supergravity
• World-Volume Action of the M Theory Five-Brane
• The Geometry of D=11 Killing Spinors
• Nonlinear Instantons from Supersymmetric p-Branes
• D-Brane Actions with Local Kappa Symmetry
• Boundary States of D-Branes and Dy-Strings
• Kappa-Symmetry, Supersymmetry and Intersecting Branes
• The Dirichlet Super-Three-Brane in Ten-Dimensional Type IIB Supergravity
• D=11, p=5
• Covariant Field Equations of the M Theory Five-Brane
• Supersymmetric D-branes and calibrations on general N=1 backgrounds
• Supersymmetry and generalized calibrations
• The Geometry of D=11 Null Killing Spinors
• The spinorial geometry of supersymmetric backgrounds
• Stable D-branes, calibrations and generalized Calabi-Yau geometry
• Breaking the M-waves
• The spinorial geometry of supersymmetric heterotic string backgrounds
• The spinorial geometry of supersymmetric IIB backgrounds
• AdS Calibrations
• The G_2 spinorial geometry of supersymmetric IIB backgrounds
• Euclidean D-branes and higher-dimensional gauge theory
• Systematics of M-theory spinorial geometry
• Systematics of IIB spinorial geometry
• A Calibration Bound for the M-Theory Fivebrane
• Magnetic Fields and Fractional Statistics in Boundary Conformal Field Theory

Cited by in corpus (2)

• Brane Effective Actions, Kappa-Symmetry and Applications
• Electrified branes