Tree-Level Amplitudes in N=8 Supergravity

Details Tree-Level Amplitudes in N=8 Supergravity Tree-Level Amplitudes in N=8 Supergravity

2009-01-16

arxiv.org/abs/0901.2363v2

Phys.Rev.D79:105018,2009

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 5 figures, v2: typos corrected

Scientific paper

10.1103/PhysRevD.79.105018

We present an algorithm for writing down explicit formulas for all tree amplitudes in N=8 supergravity, obtained from solving the supersymmetric on-shell recursion relations. The formula is patterned after one recently obtained for all tree amplitudes in N=4 super Yang-Mills which involves nested sums of dual superconformal invariants. We find that all graviton amplitudes can be written in terms of exactly the same structure of nested sums with two modifications: the dual superconformal invariants are promoted from N=4 to N=8 superspace in the simplest manner possible--by squaring them--and certain additional non-dual conformal gravity dressing factors (independent of the superspace coordinates) are inserted into the nested sums. To illustrate the procedure we give explicit closed-form formulas for all NMHV, NNMHV and NNNMV gravity superamplitudes.

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