Topological charges for branes in M-theory

Abstract

We propose a simple form for the superalgebra of M2 and M5-brane probes in arbitrary supersymmetric backgrounds of 11D supergravity, extending previous results in the literature. In particular, we identify the topological charges in the algebras and find BPS bounds for the energies. The charges are given by the integral over a brane's spatial worldvolume of a certain closed form built out of the Killing spinors and background fields. The existence of such closed forms for arbitrary supersymmetric backgrounds generalises the existence of calibration forms for special holonomy manifolds.

arXiv comment12 pages; v2. updated references and corrected typos

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Cited by in corpus (20)

• The Geometry of D=11 Null Killing Spinors
• Type IIB Killing spinors and calibrations
• On BPS preons, generalized holonomies and D=11 supergravities
• M-theory compactification, fluxes and AdS_4
• Supersymmetric AdS Backgrounds in String and M-theory
• Godel space from wrapped M2-branes
• Supersymmetric string model with 30 kappa--symmetries in an extended D=11 superspace and 30/ 32 BPS states
• Branes wrapping Black Holes
• Type IIA Killing spinors and calibrations
• Timelike structures of ten-dimensional supersymmetry
• Spacetime scale-invariant super-p-brane actions on enlarged superspaces and the geometry of kappa-symmetry
• Topological BPS charges in 10 and 11-dimensional supergravity
• Topological charges in SL(2,R) covariant massive 11-dimensional and Type IIB SUGRA
• Four-dimensional SYM probes in wrapped M5-brane backgrounds
• Generalised Calibrations in AdS backgrounds from Exceptional Sasaki-Einstein Structures
• Superalgebras from D-brane actions
• Superalgebras from $p$-brane actions
• Central charges of wrapped M5-brane backgrounds
• Flux Backgrounds and Exceptional Generalised Geometry
• Symmetry and holonomy in M Theory