On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5

Abstract

We consider the leading large string tension correction to correlation functions of three vertex operators of particular massive string states in AdS_5 x S^5 string theory. We assume that two of these states are "heavy" carrying large spins (of order string tension) and thus can be treated semiclassically while the third state is "light" having fixed quantum numbers. We study several examples. In the case when the "heavy" states are described by a folded string with large spin in AdS_5 the 3-point function scales as a semiclassical spin parameter of the "heavy" state in power of the string level of the "light" massive string state. We observe similar behavior in the case of "heavy" states which admit a small angular momentum limit which may thus represent correlators of three quantum massive string states.

24 pages, Latex v2: typos corrected, clarifying remarks and references added v3: minor corrections, fixed normalization of dilaton vertex operator

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• Correlators of Vertex Operators for Circular Strings with Winding Numbers in AdS5xS5
• Three-point Correlation functions of Giant magnons with finite size
• Correlation functions of magnon and spike
• Three- and four-point correlators of operators dual to folded string solutions in AdS_5 x S^5
• Correlation function of dyonic strings
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• Gauge invariant approach to low-spin anomalous conformal currents and shadow fields