Geometry of type II common sector N = 2 backgrounds
Abstract
We describe the geometry of all type II common sector backgrounds with two supersymmetries. In particular, we determine the spacetime geometry of those supersymmetric backgrounds for which each copy of the Killing spinor equations admits a Killing spinor. The stability subgroups of both Killing spinors are Spin(7)ltimesBbb R^{8}, SU(4)ltimesBbb R^{8} and G_{2} for IIB backgrounds, and Spin(7), SU(4) and G_{2}ltimesBbb R^{8} for IIA backgrounds. We show that the spacetime of backgrounds with spinors that have stability subgroup KltimesBbb R^{8} is a ppwave propagating in an eightdimensional manifold with a Kstructure. The spacetime of backgrounds with Kinvariant Killing spinors is a fibre bundle with fibre spanned by the orbits of two commuting null Killing vector fields and base space an eightdimensional manifold which admits a Kstructure. Type II Tduality interchanges the backgrounds with K and KltimesBbb R^{8}invariant Killing spinors. We show that the geometries of the base space of the fibre bundle and the corresponding space in which the ppwave propagates are the same. The conformal symmetry of the worldsheet action of type II strings propagating in these N = 2 backgrounds can always be fixed in the lightcone gauge.
 Publication:

Journal of High Energy Physics
 Pub Date:
 June 2006
 DOI:
 10.1088/11266708/2006/06/049
 arXiv:
 arXiv:hepth/0602250
 Bibcode:
 2006JHEP...06..049G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 30 pages