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

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

2002-06-12

arxiv.org/abs/hep-th/0206107v1

Nucl.Phys.B642:91-113,2002

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, Latex

Scientific paper

10.1016/S0550-3213(02)00677-6

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.

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