From Super-AdS_5xS^5 Algebra to Super-pp-wave Algebra

Abstract

The isometry algebras of the maximally supersymmetric solutions of IIB supergravity are derived by the Inonu-Wigner contractions of the super-AdS_5xS^5 algebra. The super-AdS_5xS^5 algebra allows introducing two contraction parameters; the one for the Penrose limit to the maximally supersymmetric pp-wave algebra and the AdS_5xS^5 radius for the flat limit. The fact that the Jacobi identity of three supercharges holds irrespectively of these parameters reflects the fact that the number of supersymmetry is not affected under both contractions.

7 pages, Latex file, references added

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Cited by in corpus (61)

• PP-wave string interactions from perturbative Yang-Mills theory
• Non-Relativistic Superstrings: A New Soluble Sector of AdS_5xS^5
• Superstring Interactions in a pp-wave Background
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Open Strings from N=4 Super Yang-Mills
• The Plane-Wave/Super Yang-Mills Duality
• Boundary States for GS superstrings in an Hpp wave background
• (Twisted) Toroidal Compactification of pp-Waves
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
• Superstring on PP-Wave Orbifold from Large-N Quiver Gauge Theory
• Superalgebra for M-theory on a pp-wave
• Strings on Orbifolded PP-waves
• Strings in homogeneous gravitational waves and null holography
• Noncommutative Superspace, Supermatrix and Lowest Landau Level
• Non-local charges on AdS_5 x S^5 and PP-waves
• Penrose Limits of Orbifolds and Orientifolds
• PP-Waves and Holography
• Modular Invariance of Strings on PP-Waves with RR-flux
• Super-PP-wave Algebra from Super-AdS x S Algebras in Eleven-dimensions
• Strings in plane wave backgrounds
• Super Galilean conformal algebra in AdS/CFT
• Superstrings on PP-Wave Backgrounds and Symmetric Orbifolds
• PP-waves and logarithmic conformal field theories
• Wess-Zumino term for AdS superstring
• The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
• Light-Cone String Field Theory in a Plane Wave Background
• Conformal fields in the pp-wave limit
• D-branes of Covariant AdS Superstrings
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
• Non-Relativistic AdS Branes and Newton-Hooke Superalgebra
• Solution to worldvolume action of D3 brane in pp-wave background
• Supercoset construction of Yang-Baxter deformed AdS${}_5\times$S${}^5$ backgrounds
• An Inverse Penrose Limit and Supersymmetry Enhancement in the Presence of Tensor Central Charges
• Orbifolds, Penrose Limits and Supersymmetry Enhancement
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT Correspondence
• Notes on D-branes of Type IIB String on AdS_5 x S^5
• Randall-Sundrum Zero Mode as a Penrose Limit
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• osp(1|32) and Extensions of super-AdS_5 X S^5 algebra
• Uniqueness of M-theory PP-Wave Background with Extra Supersymmetries
• Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory
• Superstrings on NSNS PP-Waves and Their CFT Duals
• Open M-branes on AdS_{4/7} x S^{7/4} Revisited
• Gauge invariant action for superstring in Ramond-Ramond plane-wave background
• PP-Wave Strings from Membrane and from String in the Spacetime with Two Time Directions
• Strings in the pp-wave Background from Membrane
• N=4 SYM on R times S^3 and PP-Wave
• Penrose limit and DLCQ of string theory
• D-branes from Pure Spinor Superstring in AdS_5 x S^5 Background
• AdS and pp-wave D-particle superalgebras
• Noncommutative D-brane from Covariant AdS Superstring
• Spacecone quantization of AdS superparticle
• IIB PP-Waves with Extra Supersymmetries
• The exact description of NS5-branes in the Penrose limit
• Plane waves from double extended spacetimes
• A Note on Supersymmetries in AdS_5/CFT_4
• Plane Waves and Vacuum Interpolation
• The Penrose limit of AdS*S space and holography