Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds

Details Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds

2009-11-05

arxiv.org/abs/0911.0967v3

JHEP 1001:014,2010

Physics

High Energy Physics

High Energy Physics - Theory

25+1 pages; references added; v3: minor changes, references added

Scientific paper

10.1007/JHEP01(2010)014

The problem of computing the anomalous dimensions of a class of (nearly) half-BPS operators with a large R-charge is reduced to the problem of diagonalizing a Cuntz oscillator chain. Due to the large dimension of the operators we consider, non-planar corrections must be summed to correctly construct the Cuntz oscillator dynamics. These non-planar corrections do not represent quantum corrections in the dual gravitational theory, but rather, they account for the backreaction from the heavy operator whose dimension we study. Non-planar corrections accounting for quantum corrections seem to spoil integrability, in general. It is interesting to ask if non-planar corrections that account for the backreaction also spoil integrability. We find a limit in which our Cuntz chain continues to admit extra conserved charges suggesting that integrability might survive.

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