Generalised Calibrations in AdS backgrounds from Exceptional Sasaki-Einstein Structures

Abstract

We study generalised calibrations described by Exceptional Sasaki-Einstein structures on AdS backgrounds in type IIB and M-theory, placing the focus on the generalised Reeb vectors. The inequalities for the energy bound are derived by decomposing a $\kappa$-symmetry condition and equivalently, bispinors in calibration conditions from existing literature. We explain how the closure of the calibration forms is related to the integrability conditions of the Exceptional Sasaki-Einstein structure, in particular for AdS space-filling or point-like branes. Doing so, we show that the form parts of the twisted vector structure in M-theory provides generalised calibrations, reproducing the result conjectured in a recent paper. The IIB case yields analogous results. Finally, we discuss briefly the extension of the conjecture to hypermultiplet structures and other brane configurations.

Generalised calibrations from exceptional structures in 26 pages. Typos corrected

References in corpus (5)

• Generalised Geometry for M-Theory
• Sasaki-Einstein Metrics on S^2 x S^3
• Branes, Calibrations and Supergravity
• D-brane networks in flux vacua, generalized cycles and calibrations
• The central charge of supersymmetric AdS_5 solutions of type IIB supergravity

Cited by in corpus (4)

• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• Notes on worldvolume supersymmetries for D-branes on AdS_5 X S^5 background
• Classical worldvolumes as generalised geodesics
• Flux Backgrounds and Exceptional Generalised Geometry