Plane Wave Limits and T-Duality

Abstract

The Penrose limit is generalized to show that, any leading order solution of the low-energy field equations in any one of the five string theories has a plane wave solution as a limit. This limiting procedure takes into account all the massless fields that may arise and commutes with the T-duality so that any dual solution has again a plane wave limit. The scaling rules used in the limit are unique and stem from the scaling property of the D=11 supergravity action. Although the leading order solutions need not be exact or supersymmetric, their plane wave limits always preserve some portion of the Poincare supersymmetry and solve the relevant field equations in all powers of the string tension parameter. Further properties of the limiting procedure are discussed.

12 pages, to appear in Physics Letters B

Cited by in corpus (186)

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• Branes in AdS and pp-wave spacetimes
• On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds
• Holographic Protection of Chronology in Universes of the Godel Type
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• The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions
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• The PP-Wave Limits of Orbifolded AdS_5x S^5
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• Strings from Quivers, Membranes from Moose
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• Protected Multiplets of M-Theory on a Plane Wave
• Twisted Backgrounds, PP-Waves and Nonlocal Field Theories
• Generalizations of pp-wave spacetimes in higher dimensions
• From Super-AdS_5xS^5 Algebra to Super-pp-wave Algebra
• Penrose limit, Spontaneous Symmetry Breaking and Holography in PP-Wave Background
• Supermembrane on the PP-wave Background
• Trapped surfaces, horizons and exact solutions in higher dimensions
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• Type IIA String and Matrix String on PP-wave
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• Penrose Limits of Orbifolds and Orientifolds
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• Strings in plane wave backgrounds
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• Penrose Limits, Deformed pp-Waves and the String Duals of N=1 Large n Gauge Theory
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• A Semiclassical String Description of Wilson Loop with Local Operators
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• Penrose Limits and Non-local theories
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• Super Schrodinger algebra in AdS/CFT
• Gauge theory description of compactified pp-waves
• Penrose limits of homogeneous spaces
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• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• Quotients of AdS_{p+1} x S^q: causally well-behaved spaces and black holes
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• T-Duality and Penrose limits of spatially homogeneous and inhomogeneous cosmologies
• Penrose limits and Green-Schwarz strings
• PP-wave and Non-supersymmetric Gauge Theory
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• Noncommutative Field Theory on Homogeneous Gravitational Waves
• D-branes in PP-wave light cone string field theory
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• Spectrum of Eleven-dimensional Supergravity on a PP-wave Background
• Notes on D-branes of Type IIB String on AdS_5 x S^5
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• DLCQ String Spectrum from $\mathcal{N}=2$ SYM Theory
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• M-theory on a Time-dependent Plane-wave
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• Power-law singularities in string theory and M-theory
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• The Conformal Penrose Limit and the Resolution of the pp-curvature Singularities
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• Noncommutative D-brane from Covariant AdS Superstring
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• Spacetimes with all Penrose limits diagonalisable
• Plane-parallel waves as duals of the flat background III: T-duality with torsionless $B$-field
• Penrose limit of a non-supersymmetric RG fixed point
• Giant graviton interactions and M2-branes ending on multiple M5-branes
• Classification of maximally supersymmetric backgrounds in supergravity theories
• Comments on D-brane Interactions in PP-wave Backgrounds
• PP-waves from rotating and continuously distributed D3-branes
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• The exact description of NS5-branes in the Penrose limit
• Generalised Penrose Limits and PP-Waves
• Penrose Limits, Worldvolume Fluxes and Supersymmetry
• Supersymmetries and Hopf-duality in the Penrose Limit of AdS_3 times S^3 times T^4
• PP-waves from BPS supergravity monopoles
• Cubic interactions in the BMN limit of AdS(3) x S(3)
• M5-branes with 3/8 supersymmetry in pp-wave background
• Plane Wave Type II${}^{\ast }$ String Backgrounds
• Aspects of Plane Wave (Matrix) String Dynamics
• On the asymptotic density of states in solvable models of strings
• New Solution of D=11 Supergravity on S^7 from D=4
• Penrose Limit and Enhancon Geometry
• Chaotic string motion in a near pp-wave limit
• Moving holographic boundaries
• String Propagators in Time-Dependent and Time-Independent Homogeneous Plane Waves
• Deformations of M-theory Killing superalgebras
• The decoupling problem of the Proca equation; and treatment of Dirac, Maxwell and Proca fields on the resulting pp-wave spacetimes
• String Theory in the Penrose Limit of AdS_2 x S^2
• Effective Potential in PP-Wave Geometry
• Cascade of instabilities in the classical limit of the BMN matrix model
• Killing superalgebra deformations of ten-dimensional supergravity backgrounds
• de Sitter space, (D)pp-Waves and a star-Matrix model
• The Penrose limit of AdS*S space and holography
• F-string Solution in AdS4 X CP3 PP-wave Background
• Turbulent aspects of BMN membrane dynamics
• Low Energy Action of "Covariant" Superstring Field Theory in the NS-NS pp-Wave Background