Rotating deformations of AdS_3\times S^3, the orbifold CFT and strings in the pp-wave limit

Abstract

We construct an exact metric which at short distances is the metric of massless particles in 5+1 spacetime (moving along a diameter of the sphere) and is AdS_3\times S^3 at infinity. We also consider a set of a conical defect spacetimes which are locally AdS_3\times S^3 and have the masses and charges of a special set of chiral primaries of the dual orbifold CFT. We find that excitation energies for a scalar field in the latter geometries agree exactly with the excitations in the corresponding CFT state created by twist operators: redshift in the geometry reproduces `long circle' physics in the CFT. We propose a map of string states in AdS_3\times S^3\times T^4 to states in the orbifold CFT, analogous to the recently discovered map for AdS_5\times S^5. The vibrations of the string can be pictured as oscillations of a Fermi sea in the CFT.

arXiv comment25 pages, Latex

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Cited by in corpus (51)

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• Integrability and the AdS(3)/CFT(2) correspondence
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• Black Rings, Supertubes, and a Stringy Resolution of Black Hole Non-Uniqueness
• Constructing "hair" for the three charge hole
• What is the gravity dual of a chiral primary?
• Proving the PP-Wave/CFT_2 Duality
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Giant magnons in the D1-D5 system
• Comments on black holes I: The possibility of complementarity
• A Spin Chain for the Symmetric Product CFT_2
• D1-D5-P microstates at the cap
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• PP-Wave / CFT_2 Duality
• S-matrix for magnons in the D1-D5 system
• Exciting AdS Orbifolds
• Effect of the deformation operator in the D1D5 CFT
• Effect of the twist operator in the D1D5 CFT
• Stringy Structure at the BPS Bound
• Bogoliubov coefficients for the twist operator in the D1D5 CFT
• Twist-nontwist correlators in M^N/S_N orbifold CFTs
• A rough end for smooth microstate geometries
• Rational foundation of GR in terms of statistical mechanic in the AdS/CFT framework
• Comments on the $S_N$ orbifold CFT in the large $N$-limit
• Counting Superstrata
• D-branes in PP-Waves and Massive Theories on Worldsheet with Boundary
• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• Notes on Giant Gravitons on PP-waves
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• String amplitudes in the Hpp-wave limit of AdS3xS3
• Revisiting the D1/D5 System or Bubbling in AdS_3
• On high energy scattering inside gravitational backgrounds
• Thermal Partition Function of Superstring on Compactified PP-Wave
• Superstring Vacua of 4-dimensional PP-Waves with Enhanced Supersymmetry
• Shockwaves in black hole microstate geometries
• Dynamics of chiral primaries in $Ad{S}_3\times S^3\times T^4$
• Nonlocal Effects on D-branes in Plane-Wave Backgrounds
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• Penrose limit of AdS(3) X S(3) X S(3) X S(1) and its associated sigma model
• Superstrings on NSNS PP-Waves and Their CFT Duals
• Spin chain from marginally deformed AdS_3 x S^3
• Gravitational Waves in String theory in Anti-de Sitter Background
• Brane Solutions with/without Rotation in PP-wave Spacetime
• Boundary states in the Nappi-Witten model
• Strings on Plane Waves and AdS x S
• Interpolating between multi-center microstate geometries
• Supersymmetries and Hopf-duality in the Penrose Limit of AdS_3 times S^3 times T^4
• On marginal deformation of WZNW model and PP-wave limit of deformed $Ad{S}_3\times S^3$ string geometry
• Cubic interactions in the BMN limit of AdS(3) x S(3)
• Quotient-AdS/BCFT: Holographic Boundary CFT${}_2$ on AdS${}_3$ Quotients