Geometry of all supersymmetric type I backgrounds
Artikel i vetenskaplig tidskrift, 2007

We find the geometry of all supersymmetric type I backgrounds by solving the gravitino and dilatino Killing spinor equations, using the spinorial geometry technique, in all cases. The solutions of the gravitino Killing spinor equation are characterized by their isotropy group in Spin(9,1), while the solutions of the dilatino Killing spinor equation are characterized by their isotropy group in the subgroup Sigma(P) of Spin(9,1) which preserves the space of parallel spinors P. Given a solution of the gravitino Killing spinor equation with L parallel spinors, L = 1,2,3,4,5,6,8, the dilatino Killing spinor equation allows for solutions with N supersymmetries for any 0 < N =< L. Moreover for L = 16, we confirm that N = 8,10,12,14,16. We find that in most cases the Bianchi identities and the field equations of type I backgrounds imply a further reduction of the holonomy of the supercovariant connection. In addition, we show that in some cases if the holonomy group of the supercovariant connection is precisely the isotropy group of the parallel spinors, then all parallel spinors are Killing and so there are no backgrounds with N < L supersymmetries.

supergravity

supersymmetry

string theory

Författare

Ulf Gran

Chalmers, Teknisk fysik, Matematisk fysik

George Papadopoulos

Diederik Roest

Peter Sloane

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

074-

Ämneskategorier

Subatomär fysik

Fysik

DOI

10.1088/1126-6708/2007/08/074