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(x^m,x^-) in the metric and a three-form ξ(x^m,x^-) in the flux. Considering non-harmonic 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=A_{mn}(x^-)x^mx^n 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 super-isometry algebras of the resulting backgrounds are also derived.

arXiv comment25 pages, LaTeX2e, comments added, version to appear in PRD

References in corpus (31)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Penrose limits and maximal supersymmetry
• A new maximally supersymmetric background of IIB superstring theory
• The Geometry of D=11 Killing Spinors
• Plane Wave Limits and T-Duality
• Homogeneous fluxes, branes and a maximally supersymmetric solution of M-theory
• Homogeneous Plane Waves
• Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities
• (Twisted) Toroidal Compactification of pp-Waves
• pp-waves in 11-dimensions with extra supersymmetry
• On the supersymmetries of anti de Sitter vacua
• Penrose Limits, PP-Waves and Deformed M2-branes
• From Super-AdS_5xS^5 Algebra to Super-pp-wave Algebra
• M-theory PP-waves, Penrose Limits and Supernumerary Supersymmetries
• A Note on Lie-Lorentz Derivatives
• Supergravity pp-wave solutions with 28 and 24 supercharges
• Type IIA String and Matrix String on PP-wave
• A Small Note on PP-Wave Vacua in 6 and 5 Dimensions
• N=(4,4) Type IIA String Theory on PP-Wave Background
• Super-PP-wave Algebra from Super-AdS x S Algebras in Eleven-dimensions
• Penrose Limits, Deformed pp-Waves and the String Duals of N=1 Large n Gauge Theory
• Penrose Limits and RG Flows
• A pp-Wave With 26 Supercharges
• On d=4,5,6 Vacua with 8 Supercharges
• Penrose Limits of Non-standard Brane Intersections
• Goedel, Penrose, anti-Mach: extra supersymmetries of time-dependent plane waves
• Killing spinors, supersymmetries and rotating intersecting branes
• M-theory on a Time-dependent Plane-wave
• IIB PP-Waves with Extra Supersymmetries
• M5-branes with 3/8 supersymmetry in pp-wave background

Cited by in corpus (9)

• Time-dependent Solutions with Null Killing Spinor in M-theory and Superstrings
• Matrix String Description of Cosmic Singularities in a Class of Time-dependent Solutions
• Exactly Solvable Model of Superstring in Plane-wave Background with Linear Null Dilaton
• Goedel, Penrose, anti-Mach: extra supersymmetries of time-dependent plane waves
• The Supergravity Dual of the BMN Matrix Model
• Oscillator Construction of Spectra of PP-Wave Superalgebras in Eleven Dimensions
• Generalised Penrose Limits and PP-Waves
• IIB PP-Waves with Extra Supersymmetries
• Some New Light-cone Time Dependent Solutions in Deformed pp-wave Backgrounds