Extremal Correlator of Three Vertex Operators for Circular Winding Strings in AdS5xS5

Abstract

We study a three-point correlator of the three heavy vertex operators representing the circular winding string states which are point-like in AdS_5 and rotating with two spins and two winding numbers in S^5. We restrict ourselves to the case that two of the three vertex operators are located at the same point. We evaluate semiclassically the specific three-point correlator on a stationary splitting string trajectory which is mapped to the complex plane with three punctures. It becomes an extremal and 4d conformal invariant three-point correlator on the boundary. The marginality condition of the vertex operator is discussed.

15pages,LaTeX,no figures

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Cited by in corpus (9)

• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Holographic three-point functions for short operators
• Semiclassical correlators of three states with large S^5 charges in string theory in AdS_5 x S^5
• Semiclassical correlation functions of Wilson loops and local vertex operators
• Three-Point Correlator of Heavy Vertex Operators for Circular Winding Strings in AdS5xS5
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• On semiclassical four-point correlators in AdS_5 x S^5
• Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3