Three- and four-point Coulomb branch amplitudes of N=4 SYM are expressed as symplectic Grassmannian integrals over SpGr(3,6) and SpGr(4,8), up to a fitted kinematic factor at four points.
Recursion Relations for Tree Amplitudes in Super Gauge Theories
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Using newly proposed BCF/BCFW recursion relations, compact formulas are obtained for tree-level n-gluon amplitudes of helicity structure --++...+. We then make an extension of these recursion relations to include fermions of multi-flavors, from which MHV and \bar{MHV} amplitudes are reproduced. We also calculate non-MHV amplitudes of processes with two fermions and four gluons. Results thus obtained are equivalent to those obtained by extended CSW prescriptions, and those by conventional field theory calculations.
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Symplectic Grassmannian description of the Coulomb branch three and four point amplitudes
Three- and four-point Coulomb branch amplitudes of N=4 SYM are expressed as symplectic Grassmannian integrals over SpGr(3,6) and SpGr(4,8), up to a fitted kinematic factor at four points.