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arXiv · 1602.05675

Rotating Restricted Schur Polynomials

Nicholas Bornman·Robert de Mello Koch·Laila Tribelhorn
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Abstract

Large $N$ but non-planar limits of ${\cal N}=4$ super Yang-Mills theory can be described using restricted Schur polynomials. Previous investigations demonstrate that the action of the one loop dilatation operator on restricted Schur operators, with classical dimension of order $N$ and belonging to the $su(2)$ sector, is largely determined by the $su(2)$ ${\cal R}$ symmetry algebra as well as structural features of perturbative field theory. Studies presented so far have used the form of ${\cal R}$ symmetry generators when acting on small perturbations of half-BPS operators. In this article, as a first step towards going beyond small perturbations of the half-BPS operators, we explain how the exact action of symmetry generators on restricted Schur polynomials can be determined.

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Nicholas Bornman, Robert de Mello Koch, Laila Tribelhorn. 2016-02-18. Rotating Restricted Schur Polynomials. https://doi.org/10.1142/s0217751x17501500

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