Operator product expansion of the lowest weight CPOs in N = 4 SYM(4) at strong coupling
Citation:
G. Arutyunov, S. Frolov and A. C. Petkou, Operator product expansion of the lowest weight CPOs in N = 4 SYM(4) at strong coupling, Nuclear Physics B, 586, 1-2, 2000, 547-588Download Item:
Abstract:
We present a detailed analysis of the 4-point functions of the lowest weight chiral primary
operators OI ~ tr?(i?j) in N = 4 SYM4 at strong coupling and show that their structure
is compatible with the predictions of AdS/CFT correspondence. In particular, all powersingular
terms in the 4-point functions exactly coincide with the contributions coming
from the conformal blocks of the CPOs, the R-symmetry current and the stress tensor.
Operators dual to string modes decouple at strong coupling. We compute the anomalous
dimensions and the leading 1/N2 corrections to the normalization constants of the 2- and
3-point functions of scalar and vector double-trace operators with approximate dimensions
4 and 5 respectively. We also find that the conformal dimensions of certain towers of
double-trace operators in the 105, 84 and 175 irreps are non-renormalized. We show
that, despite the absence of a non-renormalization theorem for the double-trace operator
in the 20 irrep, its anomalous dimension vanishes. As by-products of our investigation,
we derive explicit expressions for the conformal block of the stress tensor, and for the
conformal partial wave amplitudes of a conserved current and of a stress tensor in d
dimensions.
Author's Homepage:
http://people.tcd.ie/frolovsDescription:
PUBLISHED
Author: FROLOV, SERGEY
Type of material:
Journal ArticleSeries/Report no:
Nuclear Physics B586
1-2
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Full text availableKeywords:
Mathematics, Condensed matter physics, AdS/CFTMetadata
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