Uniqueness of M-theory pp-wave background with extra supersymmetries
Abstract
We examine Killing spinor equations of the general eleven-dimensional pp-wave backgrounds, which contain a scalar H(xm,x-) in the metric and a three-form ξ(xm,x-) in the flux. Considering nonharmonic extra Killing spinors, we show that, if the backgrounds admit at least one extra Killing spinor in addition to the standard 16 Killing spinors, they can be reduced to the form with H=Amn(x-)xmxn and ξ(x-) modulo coordinate transformations. We further examine the cases in which the extra Killing spinor is characterized by a set of Cartan matrices. The superisometry algebras of the resulting backgrounds are also derived.
- Publication:
-
Physical Review D
- Pub Date:
- March 2004
- DOI:
- arXiv:
- arXiv:hep-th/0305215
- Bibcode:
- 2004PhRvD..69f6006O
- Keywords:
-
- 11.25.Yb;
- 04.65.+e;
- 11.30.Pb;
- M theory;
- Supergravity;
- Supersymmetry;
- High Energy Physics - Theory
- E-Print:
- 25 pages, LaTeX2e, comments added, version to appear in PRD