On holographic three point functions for GKP strings from integrability

Abstract

Adapting the powerful integrability-based formalism invented previously for the calculation of gluon scattering amplitudes at strong coupling, we develop a method for computing the holographic three point functions for the large spin limit of Gubser-Klebanov- Polyakov (GKP) strings. Although many of the ideas from the gluon scattering problem can be transplanted with minor modifications, the fact that the information of the external states is now encoded in the singularities at the vertex insertion points necessitates several new techniques. Notably, we develop a new generalized Riemann bilinear identity, which allows one to express the area integral in terms of appropriate contour integrals in the presence of such singularities. We also give some general discussions on how semiclassical vertex operators for heavy string states should be constructed systematically from the solutions of the Hamilton-Jacobi equation.

62 pages;v2 Typos and equation (3.7) corrected. Clarifying remarks added in Section 4.1. Published version;v3 Minor errors found in version 2 are corrected. For explanation of the revision, see Erratum published in http://www.springerlink.com/content/m67055235407vx67/?MUD=MP

References in corpus (15)

• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• String hypothesis for the AdS_5 x S^5 mirror
• On three-point correlation functions in the gauge/gravity duality
• Holographic three-point functions of giant gravitons
• On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT
• Correlation functions of three heavy operators - the AdS contribution
• Holographic Correlation Functions for Open Strings and Branes
• Semiclassical four-point functions in AdS_5 x S^5
• Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5
• Correlators of Vertex Operators for Circular Strings with Winding Numbers in AdS5xS5
• Holography of Two-point Functions in the Spinning String/Spin Chain Correspondence
• Three-point Correlation functions of Giant magnons with finite size
• Three-point correlators for giant magnons
• Three- and four-point correlators of operators dual to folded string solutions in AdS_5 x S^5
• Spiky Strings and Giant Holes

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