A pp-Wave With 26 Supercharges

Abstract

A pp-wave solution to 11-dimensional supergravity is given with precisely 26 supercharges. Its uniqueness and the absence of 11-dimensional pp-waves which preserve (precisely) 28 or 30 supercharges is discussed. Compactification on a spacelike circle gives a IIA configuration with all 26 of the supercharges. For this compactification, D0 brane charge does not appear in the supersymmetry algebra. Indeed, the 26 supercharge IIA background does not admit any supersymmetric D-branes. In an appendix, a 28 supercharge IIB pp-wave is presented along with its supersymmetry algebra.

18 pages REVTeX 4 and AMSLaTeX. v3: Equations (III.17) and (III.18) corrected. Reference added. v4: more typos corrected and references added

References in corpus (6)

• 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
• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• Homogeneous fluxes, branes and a maximally supersymmetric solution of M-theory
• On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds
• (Twisted) Toroidal Compactification of pp-Waves

Cited by in corpus (36)

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• On BPS preons, generalized holonomies and D=11 supergravities
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• Ambient metrics for $n$-dimensional $pp$-waves
• Gravitational waves in Poincaré gauge gravity theory
• Fuzzy Spheres in pp Wave Matrix String Theory
• Plane waves in metric-affine gravity
• Generalized plane-fronted gravitational waves in any dimension
• The causal boundary of wave-type spacetimes
• Causal inheritance in plane wave quotients
• Homogeneity and plane-wave limits
• Goedel, Penrose, anti-Mach: extra supersymmetries of time-dependent plane waves
• IIB solutions with N>28 Killing spinors are maximally supersymmetric
• Supersymmetric string model with 30 kappa--symmetries in an extended D=11 superspace and 30/ 32 BPS states
• M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
• Spencer cohomology and eleven-dimensional supergravity
• Supersymmetric Killing Structures
• On the energy transported by exact plane gravitational-wave solutions
• Classification of IIB backgrounds with 28 supersymmetries
• Penrose limits and spin chains in the GJV/CS-SYM duality
• Supergravity, Supermembrane and M(atrix) model on PP-Waves
• Gravitational waves in metric-affine gravity theory
• Uniqueness of M-theory PP-Wave Background with Extra Supersymmetries
• Dynamics of Antimembranes in the Maximally Supersymmetric Eleven-Dimensional pp Wave
• PP-waves in AdS Gauged Supergravities and Supernumerary Supersymmetry
• Oscillator Construction of Spectra of PP-Wave Superalgebras in Eleven Dimensions
• Correspondence Principle for Black Holes in Plane Waves
• Type IIA Supergravity Excitations in Plane-Wave Background
• Supersymmetric Intersections of M-branes and pp-waves
• Symmetric M-Theory Backgrounds
• AdS pp-waves
• PP-waves from rotating and continuously distributed D3-branes