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

Physics – High Energy Physics – High Energy Physics - Theory

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16 pages, LaTeX, no figures

Scientific paper

10.1007/JHEP01(2011)092

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.

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