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Extremal correlator of three vertex operators for circular winding strings in AdS 5 × S 5

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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.

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  1. Department of Physics, Kyoto Prefectural University of Medicine, Taishogun, Kyoto, 603-8334, Japan

    Shijong Ryang

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ArXiv ePrint: 1109.3242

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Ryang, S. Extremal correlator of three vertex operators for circular winding strings in AdS 5 × S 5 . J. High Energ. Phys. 2011, 26 (2011). https://doi.org/10.1007/JHEP11(2011)026

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