SU(2|2) for theories with sixteen supercharges at weak and strong coupling
- American Physical Society, 1 Research Road, Ridge, New York 11961 (United States)
- Humboldt-Universitaet zu Berlin, Institut fuer Physik, Newtonstrasse 15, D-12489 Berlin (Germany)
We consider the dimensional reductions of N=4 supersymmetric Yang-Mills theory on RxS{sup 3} to the three-dimensional theory on RxS{sup 2}, the orbifolded theory on RxS{sup 3}/Z{sub 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 Hamiltonians 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.
- OSTI ID:
- 21421011
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevD.82.045024; (c) 2010 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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