Non-planar Anomalous Dimensions in the sl(2) Sector

Details Non-planar Anomalous Dimensions in the sl(2) Sector Non-planar Anomalous Dimensions in the sl(2) Sector

2011-11-28

arxiv.org/abs/1111.6385v1

Physics

High Energy Physics

High Energy Physics - Theory

13 + 1 pages

Scientific paper

In this note we compute the non-planar one loop anomalous dimension of restricted Schur polynomials that belong to the sl(2) sector of N=4 super Yang-Mills theory and have a bare dimension of order N. Although the details are rather different, ultimately the problem of diagonalizing the dilatation operator in the sl(2) sector can be reduced to the su(2) sector problem. In this way we establish the expected dynamical emergence of the Gauss Law for giant gravitons and further show that the dilatation operator reduces to a set of decoupled harmonic oscillators.

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