Classification of IIB backgrounds with 28 supersymmetries

Abstract

We show that all IIB backgrounds with strictly 28 supersymmetries are locally isometric to the plane wave solution of arXiv:hep-th/0206195. Moreover, we demonstrate that all solutions with more than 26 supersymmetries and only 5-form flux are maximally supersymmetric. The N=28 plane wave solution is a superposition of the maximally supersymmetric IIB plane wave with a heterotic string solution. We investigate the propagation of strings in this background, find the spectrum and give the string light-cone Hamiltonian.

30 pages, typos corrected

References in corpus (6)

• Geometry of all supersymmetric type I backgrounds
• The Killing superalgebra of ten-dimensional supergravity backgrounds
• N=31 is not IIB
• N=31, D=11
• M-theory preons cannot arise by quotients
• IIB solutions with N>28 Killing spinors are maximally supersymmetric

Cited by in corpus (13)

• Classification, geometry and applications of supersymmetric backgrounds
• Supersymmetry of AdS and flat IIB backgrounds
• All the timelike supersymmetric solutions of all ungauged d=4 supergravities
• M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
• Index theory and dynamical symmetry enhancement near IIB horizons
• Dynamical symmetry enhancement near IIA horizons
• A non-existence theorem for N>16 supersymmetric AdS3 backgrounds
• IIB black hole horizons with five-form flux and KT geometry
• Supersymmetric geometries of IIA supergravity I
• IIB black hole horizons with five-form flux and extended supersymmetry
• AdS4 backgrounds with N>16 supersymmetries in 10 and 11 dimensions
• $D=11$ $d{S}_5$ backgrounds with enhanced supersymmetry
• Spinorial geometry, horizons and superconformal symmetry in six dimensions