From lightcone actions to maximally supersymmetric amplitudes

Abstract

In this article actions for N=4 SYM and N=8 supergravity are formulated in terms of a chiral superfield, which contains only the physical degrees of freedom of either theory. In these new actions, which originate from the lightcone superspace, the supergravity cubic vertex is the square of the gauge theory one (omitting the color structures). Amplitude calculations using the corresponding Feynman supergraph rules are tedious, but can be simplified by choosing a preferred superframe. Recursive calculations of all MHV amplitudes in N=4 SYM and the four-point N=8 supergravity amplitude are shown to agree with the known results and connections to the BCFW recursion relations are pointed out. Finally, the new path integrals are discussed in the context of the double-copy property relating N=4 SYM theory to N=8 supergravity.

29 pages, 2 figures, v2: title modified, published version

References in corpus (12)

• New Relations for Gauge-Theory Amplitudes
• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Three-Loop Superfiniteness of N=8 Supergravity
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• Generating Tree Amplitudes in N=4 SYM and N=8 SG
• All tree-level amplitudes in N=4 SYM
• Note on graviton MHV amplitudes
• Tree-Level Amplitudes in N=8 Supergravity
• E_7(7) on the Light Cone
• The Structure of Multiloop Amplitudes in Gauge and Gravity Theories
• New N=4 SYM Path Integral

Cited by in corpus (7)

• The Kinematic Algebra From the Self-Dual Sector
• Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
• String-inspired BCJ numerators for one-loop MHV amplitudes
• Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
• Wilson lines, Grassmannians and Gauge Invariant Off-shell Amplitudes in N=4 SYM
• One-loop SYM-supergravity relation for five-point amplitudes
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM