SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
Abstract
We consider the dimensional reductions of N=4 Supersymmetric Yang-Mills theory on R x S^3 to the three-dimensional theory on R x S^2, the orbifolded theory on R x S^3/Z_k, and the plane-wave matrix model. With explicit emphasis on the three-dimensional theory, we demonstrate the realization of the SU(2|3) algebra in a radial Hamiltonian framework. Using this structure we constrain the form of the spin chains, their S-matrices, and the corresponding one- and two-loop Hamiltonian of the three dimensional theory and find putative signs of integrability up to the two-loop order. The string duals of these theories admit the IIA plane-wave geometry as their Penrose limit. Using known results for strings quantized on this background, we explicitly construct the strong-coupling dual extended SU(2|2) algebra and discuss its implications for the gauge theories.
Keywords
Cite
@article{arxiv.1003.5547,
title = {SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling},
author = {Abhishek Agarwal and Donovan Young},
journal= {arXiv preprint arXiv:1003.5547},
year = {2015}
}
Comments
37 pages, 1 figure. v2 some minor improvements to the text, version to appear in Phys.Rev.D