Quarter BPS classified by Brauer algebra

Details Quarter BPS classified by Brauer algebra Quarter BPS classified by Brauer algebra

2010-02-11

arxiv.org/abs/1002.2424v3

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 2 figures; (v2) some comments added, typos corrected; (v3) some explanations added

Scientific paper

We analyse the one-loop dilatation operator with the help of the Brauer algebra. We find some BPS operators in N=4 SYM, which are labelled by irreducible representations of the Brauer algebra. Some of them are quarter BPS operators. The result includes full non-planar corrections. Our construction and proof are based on simple algebraic arguments and are carried out for any number of fields.

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