Correlators of Vertex Operators for Circular Strings with Winding Numbers in AdS5xS5

Abstract

We compute semiclassically the two-point correlator of the marginal vertex operators describing the rigid circular spinning string state with one large spin and one windining number in AdS_5 and three large spins and three winding numbers in S^5. The marginality condition and the conformal invariant expression for the two-point correlator obtained by using an appropriate vertex operator are shown to be associated with the diagonal and off-diagonal Virasoro constraints respectively. We evaluate semiclassically the three-point correlator of two heavy circular string vertex operators and one zero-momentum dilaton vertex operator and discuss its relation with the derivative of the dimension of the heavy circular string state with respect to the string tension.

16 pages, LaTeX, no figures

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• Three-point Correlation functions of Giant magnons with finite size
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• On semiclassical calculation of three-point functions in AdS_4 x CP^3