BPS Operators in N=4 SYM: Calogero Models and 2D Fermions
Abstract
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.
Cite
@article{arxiv.hep-th/0602049,
title = {BPS Operators in N=4 SYM: Calogero Models and 2D Fermions},
author = {Abhishek Agarwal and Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/0602049},
year = {2009}
}
Comments
29 pages, 3 figures