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Correlators of massive string states with conserved currents

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Abstract

We calculate correlation functions of the R-current or the stress-energy tensor T μν with two non-protected operators dual to generic massive string states with rotation in S 5, in the context of the AdS/CFT correspondence. Field theory Ward identities make predictions about the all-loop behaviour of these correlators. In particular, they restrict the fusion coefficient to be proportional to the R-charge of the operators or to their dimension, respectively, with certain coefficients of proportionality. We reproduce these predictions, at strong coupling, using string theory. Furthermore, we point out that the recently observed strong coupling factorisation of 4-point correlators is consistent with conformal symmetry and puts constraints on the strong coupling expressions of 4-point correlators involving R-currents or the stress-energy tensor.

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Authors and Affiliations

  1. Demokritos National Research Center, Institute of Nuclear and Particle Physics, Ag. Paraskevi, GR-15310, Athens, Greece

    George Georgiou

  2. Center For Quantum Spacetime, Sogang University, 35 Baekbeom-ro, Mapo-gu, Seoul, Korea

    Bum-Hoon Lee & Chanyong Park

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  1. George Georgiou
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  2. Bum-Hoon Lee
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Correspondence to George Georgiou.

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ArXiv ePrint: 1301.5092

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Georgiou, G., Lee, BH. & Park, C. Correlators of massive string states with conserved currents. J. High Energ. Phys. 2013, 167 (2013). https://doi.org/10.1007/JHEP03(2013)167

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