Superstrings on PP-Wave Backgrounds and Symmetric Orbifolds

Abstract

We study the superstring theory on pp-wave background with NSNS-flux that is realized as the Penrose limit of AdS_3 x S^3 x M^4, where M^4 is T^4 or T^4/Z_2(~ K3). Quantizing this system in the covariant gauge, we explicitly construct the space-time supersymmetry algebra and the complete set of DDF operators. We analyse the spectrum of physical states by using the spectrally flowed representations of current algebra. This spectrum is classified by the ``short string sectors'' and the ``long string sectors'' as in AdS_3 string theory. The states of the latter propagate freely along the transverse plane of pp-wave background, but the states of the former do not. We compare the short string spectrum with the BPS and almost BPS states which have large R-charges in the symmetric orbifold conformal theory, which is known as the candidate of dual theory of superstrings on AdS_3 x S^3 x M^4. We show that every short string states can be embedded successfully in the single particle Hilbert space of symmetric orbifold conformal theory.

Latex, 35 pages, minor changed

Cited by in corpus (27)

• Integrability and the AdS(3)/CFT(2) correspondence
• Proving the PP-Wave/CFT_2 Duality
• A Spin Chain for the Symmetric Product CFT_2
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• PP-Wave / CFT_2 Duality
• S-matrix for magnons in the D1-D5 system
• Modular Invariance of Strings on PP-Waves with RR-flux
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• D-branes in NSNS and RR pp-wave backgrounds and S-duality
• Orbiting Membranes in M-theory on AdS_7 x S^4 Background
• Thermal Amplitudes in DLCQ Superstrings on PP-Waves
• D-branes in PP-Waves and Massive Theories on Worldsheet with Boundary
• Notes on Giant Gravitons on PP-waves
• String amplitudes in the Hpp-wave limit of AdS3xS3
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• Boundary States for D-branes with Traveling Waves
• Penrose limits and Green-Schwarz strings
• Thermal Partition Function of Superstring on Compactified PP-Wave
• Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT Correspondence
• Superstring Vacua of 4-dimensional PP-Waves with Enhanced Supersymmetry
• Penrose limit of AdS(3) X S(3) X S(3) X S(1) and its associated sigma model
• PP-waves from Nonlocal Theories
• Gauge invariant action for superstring in Ramond-Ramond plane-wave background
• Tadpole Analysis of Orientifolded Plane-Waves
• AdS and pp-wave D-particle superalgebras
• Spacetime Quotients, Penrose Limits and Conformal Symmetry Restoration
• The exact description of NS5-branes in the Penrose limit