Type IIA Killing spinors and calibrations

Details Type IIA Killing spinors and calibrations Type IIA Killing spinors and calibrations

2004-07-18

arxiv.org/abs/hep-th/0407156v1

Phys.Rev. D71 (2005) 025018

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures

Scientific paper

10.1103/PhysRevD.71.025018

We consider the dimensional reduction of eleven dimensional supergravity to type IIA in ten dimensions, and study the conditions for supersymmetry in terms of p-form spinor bi-linears of the supersymmetry parameter. For a bosonic solution to be supersymmetric these p-forms must satisfy a set of differential relations, which we derive in full; the supersymmetry variations of the dilatino give a set of algebraic relations which are also derived. These results are then used to provide the generalized calibration conditions for some of the basic brane solutions, we also follow up a suggestion of Hackett-Jones and Smith and present a calibration condition for IIA supertubes. We find that a probe supertube satisfies this bound but does not saturate it, with the bound successfully accounting for the D0 charge of the supertube but not the string charge; we speculate that there should be a stronger calibration inequality than the one given.

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