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2012

The homogeneity theorem for supergravity backgrounds

Figueroa-O'Farrill, José, Hustler, Noel

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We prove the strong homogeneity conjecture for eleven- and ten-dimensional (Poincar\'e) supergravity backgrounds.

In other words, we show that any backgrounds of 11-dimensional, type I/heterotic or type II supergravity theories preserving a fraction greater than one half of the supersymmetry of the underlying theory are necessarily locally homogeneous.
Moreover we show that the homogeneity is due precisely to the supersymmetry, so that at every point of the spacetime one can find a frame for the tangent space made out of Killing vectors constructed out of the Killing spinors.

The homogeneity theorem for supergravity backgrounds · Around

Built on

J. P. Gauntlett and S. Pakis, “The geometry of D = 11 {D}=11 Killing spinors,” J. High Energy Phys
2003
Earlier work this paper cites.
J. M. Figueroa-O’Farrill, P. Meessen, and S. Philip, “Supersymmetry and homogeneity of M-theory backgrounds,” Class. Quant. Grav
2005
Earlier work this paper cites.

Similar

J. M. Figueroa-O’Farrill, E. Hackett-Jones, and G. Moutsopoulos, “The Killing superalgebra of ten-dimensional supergravity backgrounds,” Class. Quant. Grav
2007
Cited alongside, same era.
J. M. Figueroa-O’Farrill, “The homogeneity conjecture for supergravity backgrounds,” Journal of Physics: Conference Series
Original
2009
Cited alongside, same era.

Then

Amer. Inst. Phys., Melville, NY, 2009
Original
D. V. Alekseevsky and V. Cortés, “On pseudo-Riemannian manifolds with many Killing spinors,” in Special metrics and supersymmetry · 2009
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