Vacuum Interpretation for Supergravity M-Branes

Abstract

A non-local classical duality between the three-block truncated 11D supergravity and the 8D vacuum gravity with two commuting Killing symmetries is established. The supergravity four-form field is generated via an inverse dualisation of the corresponding Killing two-forms in six dimensions. 11D supersymmetry condition is shown to be equivalent to existence of covariantly constant spinors in eight dimensions. Thus any solution to the vacuum Einstein equations in eight dimensions depending on six coordinates and admitting Killing spinors have supersymmetric 11D-supergravity counterparts. Using this duality we derive some new brane solutions to 11D-supergravity including 1/4 supersymmetric intersecting M-branes with a NUT parameter and a dyon solution joining the M2 and M5-branes intersecting at a point.

4 pages, latex, no figures

References in corpus (4)

• Dualisation of Dualities, I
• Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities
• Lectures on Supergravity p-branes
• SL(4,R) generating symmetry in five-dimensional gravity coupled to dilaton and three-form

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• Rotating dyonic dipole black rings: exact solutions and thermodynamics
• Dilatonic Domain Walls and Curved Intersecting Branes
• Einstein Gravity - Supergravity Correspondence
• New forms and thermodynamics of the neutral rotating squashed black hole in five-dimensional vacuum Einstein gravity theory