Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-02-06
JHEP0608:034,2006
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, 3 figures
Scientific paper
10.1088/1126-6708/2006/08/034
A connection between the gauge fixed dynamics of protected operators in superconformal Yang-Mills theory in four dimensions and Calogero systems is established. This connection generalizes the free Fermion description of the chiral primary operators of the gauge theory formed out of a single complex scalar to more general operators. In particular, a detailed analysis of protected operators charged under an su(1|1)contained in psu(2,2|4) is carried out and a class of operators is identified, whose dynamics is described by the rational super-Calogero model. These results are generalized to arbitrary BPS operators charged under an su(2|3) of the superconformal algebra. Analysis of the non-local symmetries of the super-Calogero model is also carried out, and it is shown that symmetry for a large class of protected operators is a contraction of the corresponding Yangian algebra to a loop algebra.
Agarwal Abhishek
Polychronakos Alexios P.
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