Worldsheet operator product expansions and p-point functions in AdS3/CFT2

Abstract

We construct the operator product expansions (OPE) of the chiral primary operators in the worldsheet theory for strings on AdS_3 x S^3 x T^4. As an interesting application, we will use the worldsheet OPEs to derive a recursion relation for a particular class of extremal p-point correlators on the sphere. We compare our result with the corresponding recursion relation previously found in the symmetric orbifold theory on the boundary of AdS_3.

21 pages, discussion on poles added in section 3, minor corrections

References in corpus (10)

• On three-point correlation functions in the gauge/gravity duality
• Holographic three-point functions of semiclassical states
• Matching of correlators in AdS_3/CFT_2
• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• Exact N=4 correlators of AdS(3)/CFT(2)
• Semiclassical four-point functions in AdS_5 x S^5
• Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5
• Worldsheet four-point functions in AdS(3)/CFT(2)
• The space-time operator product expansion in string theory duals of field theories

Cited by in corpus (4)

• A non-renormalization theorem for chiral primary 3-point functions
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• String solutions in $Ad{S}_3\times S^3\times S^3\times S^1$ with $B$-field