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.

37 pages, 1 figure. v2 some minor improvements to the text, version to appear in Phys.Rev.D

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Cited by in corpus (7)

• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Supersymmetry and Mass Gap in 2+1 Dimensions: A Gauge Invariant Hamiltonian Analysis
• Manifest SO(N) invariance and S-matrices of three-dimensional N=2,4,8 SYM
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
• Complete type IIA superstring action on IIA plane wave background
• Deconstructing Supersymmetric S-matrices in D <= 2 + 1