Parallelisable Heterotic Backgrounds

Abstract

We classify the simply-connected supersymmetric parallelisable backgrounds of heterotic supergravity. They are all given by parallelised Lie groups admitting a bi-invariant lorentzian metric. We find examples preserving 4, 8, 10, 12, 14 and 16 of the 16 supersymmetries.

17 pages, AMSLaTeX

References in corpus (5)

• String Theory on Parallelizable PP-Waves
• Penrose limits of Lie Branes and a Nappi--Witten braneworld
• Dilatonic Parallelizable NS-NS Backgrounds
• On parallelisable NS-NS backgrounds
• Remarks on string solitons

Cited by in corpus (14)

• Geometry of all supersymmetric type I backgrounds
• The Killing superalgebra of ten-dimensional supergravity backgrounds
• Supersymmetric heterotic string backgrounds
• Classification, geometry and applications of supersymmetric backgrounds
• Heterotic Black Horizons
• New half supersymmetric solutions of the heterotic string
• Spinorial geometry and Killing spinor equations of 6-D supergravity
• Heterotic supersymmetric backgrounds with compact holonomy revisited
• Classification of IIB backgrounds with 28 supersymmetries
• M-Theory with Framed Corners and Tertiary Index Invariants
• The homogeneity conjecture for supergravity backgrounds
• Rigid supersymmetry, conformal coupling and twistor spinors
• Solution of heterotic Killing spinor equations and special geometry
• String Propagators in Time-Dependent and Time-Independent Homogeneous Plane Waves