Manifest SO(N) invariance and S-matrices of three-dimensional N=2,4,8 SYM
Mar, 2011Citations per year
Abstract: (arXiv)
An on-shell formalism for the computation of S-matrices of SYM theories in three spacetime dimensions is presented. The framework is a generalization of the spinor-helicity formalism in four dimensions. The formalism is applied to establish the manifest SO(N) covariance of the on-shell superalgebra relevant to N =2,4 and 8 SYM theories in d=3. The results are then used to argue for the SO(N) invariance of the S-matrices of these theories: a claim which is proved explicitly for the four-particle scattering amplitudes. Recursion relations relating tree amplitudes of three-dimensional SYM theories are shown to follow from their four-dimensional counterparts. The results for the four-particle amplitudes are verified by tree-level perturbative computations and a unitarity based construction of the integrand corresponding to the leading perturbative correction is also presented for the N=8 theory. For N=8 SYM, the manifest SO(8) symmetry is used to develop a map between the color-ordered amplitudes of the SYM and superconformal Chern-Simons theories, providing a direct connection between on-shell observables of D2 and M2-brane theories.Note:
- 28 pages
- Supersymmetric gauge theory
- Gauge-gravity correspondence
- Extended Supersymmetry
- invariance: SO(N)
- dimension: 4
- dimension: 3
- supersymmetry: 8
- supersymmetry: algebra
- supersymmetry: 2
- supersymmetry: 4
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