Correlators of massive string states with conserved currents

Abstract

We calculate correlation functions of the R-current or the stress-energy tensor T_{\mu\nu} 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.Comment: 17 pages,comments and reference adde

Three-point functions of semiclassical string states and conserved currents inAdS4×CP3

“…We reproduce the correct space-time behavior of correlators and verify that the structure constants we have obtained at strong coupling are in perfect agreement with corresponding field theory derivations based on Ward identities. Our study extends the results presented in [14] to the AdS 4 =CFT 3 case.…”

“…Our approach is mostly based on the previous works of [9,14]. We also check the validity of our results by comparison with related field theory Ward identities.…”

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“…This is in accordance with that predicted by the R-symmetry Ward identity. The verification of this Ward identity at strong coupling for the case of N = 4 Yang-Mills the verification of the Ward identity was recently done in [31]. Finally we evaluate the structure constant of the supergravity mode with R-charge (k, k, k) and a rigid rotating string.…”

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