Super-PP-wave Algebra from Super-AdS x S Algebras in Eleven-dimensions

Abstract

Maximally supersymmetric spacetime algebras in eleven-dimensions, which are the isometry superalgebras of Minkowski space, AdS_7 x S^4, AdS_4 x S^7 and pp-wave background, are related by Inonu-Wigner contractions. The super-AdS_{4(7)} x S^{7(4)} algebras allow to introduce two contraction parameters, the one for the flat limit to the super-Poincare algebra and the other for a Penrose limit to the super-pp-wave algebra. Under these contractions supersymmetries are maintained because the Jacobi identity of three supercharges holds for any values of contraction parameters.

9 pages, LaTex2e file

References in corpus (15)

• 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
• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• A new maximally supersymmetric background of IIB superstring theory
• 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
• PP Wave Limit and Enhanced Supersymmetry in Gauge Theories
• On Penrose Limits and Gauge Theories
• Boundary States for GS superstrings in an Hpp wave background
• The PP-Wave Limits of Orbifolded AdS_5x S^5
• From Super-AdS_5xS^5 Algebra to Super-pp-wave Algebra
• A Small Note on PP-Wave Vacua in 6 and 5 Dimensions
• Conformal Field Theory for the Superstring in a Ramond-Ramond Plane Wave Background
• Randall-Sundrum Zero Mode as a Penrose Limit

Cited by in corpus (38)

• Superstring Interactions in a pp-wave Background
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• Superalgebra for M-theory on a pp-wave
• Noncommutative Superspace, Supermatrix and Lowest Landau Level
• Branes from Matrix Theory in PP-Wave Background
• Modular Invariance of Strings on PP-Waves with RR-flux
• Super Galilean conformal algebra in AdS/CFT
• On d=4,5,6 Vacua with 8 Supercharges
• Wess-Zumino term for AdS superstring
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• Conformal fields in the pp-wave limit
• Homogeneity and plane-wave limits
• D-branes of Covariant AdS Superstrings
• Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
• Kaigorodov spaces and their Penrose limits
• Non-Relativistic AdS Branes and Newton-Hooke Superalgebra
• Orbifolds, Penrose Limits and Supersymmetry Enhancement
• Spencer cohomology and eleven-dimensional supergravity
• Infinite S-Expansion with Ideal Subtraction and Some Applications
• On the maximal superalgebras of supersymmetric backgrounds
• Dirichlet Branes of the Covariant Open Supermembrane on a PP-wave Background
• Dirichlet Branes of the Covariant Open Supermembrane in AdS_4 x S^7 and AdS_7 x S^4
• Uniqueness of M-theory PP-Wave Background with Extra Supersymmetries
• Open M-branes on AdS_{4/7} x S^{7/4} Revisited
• The homogeneity conjecture for supergravity backgrounds
• Oscillator Construction of Spectra of PP-Wave Superalgebras in Eleven Dimensions
• Gauge invariant action for superstring in Ramond-Ramond plane-wave background
• Penrose limit and DLCQ of string theory
• Supersymmetric Intersections of M-branes and pp-waves
• AdS and pp-wave D-particle superalgebras
• Noncommutative D-brane from Covariant AdS Superstring
• Vertex operators for the plane wave pure spinor string
• Complete type IIA superstring action on IIA plane wave background
• Generalised Penrose Limits and PP-Waves
• Deformations of M-theory Killing superalgebras
• Superization of Homogeneous Spin Manifolds and Geometry of Homogeneous Supermanifolds
• Killing superalgebra deformations of ten-dimensional supergravity backgrounds
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions