The footprint of E7 in amplitudes of N=8 supergravity
arXiv:0811.3414 · doi:10.1088/1126-6708/2009/01/072
Abstract
We study the low energy theorems associated with the non-linearly realized continuous E7 symmetry of the on-shell N=8 supergravity. For Nambu-Goldstone bosons we evaluate the one-soft-scalar-bosonemission amplitudes by computing the E7 current matrix element on the one-particle external lines. We use the explicit form of the conserved E7 Noether current and prove that all such matrix elements vanish in the soft momentum limit,assuming the SU(8) symmetry of the S-matrix.This implies that all tree amplitudes vanish in the one-soft-boson limit. We also discuss the implications of unbroken E7 symmetry for higher-order amplitudes.
18 p., 2 figures
References in corpus (7)
- Three-Loop Superfiniteness of N=8 Supergravity
- Is N = 8 Supergravity Ultraviolet Finite?
- Generating Tree Amplitudes in N=4 SYM and N=8 SG
- Ultraviolet properties of Maximal Supergravity
- Decoupling Supergravity from the Superstring
- Explicit Action of E7(7) on N=8 Supergravity Fields
- E_7(7) on the Light Cone
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- The Ultraviolet Finiteness of N=8 Supergravity
- Soft theorems in maximally supersymmetric theories
- Exceptional Lie Algebras, SU(3) and Jordan Pairs Part 2: Zorn-type Representations
- Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
- Note on Bonus Relations for N=8 Supergravity Tree Amplitudes
- Exceptional symmetries in light-cone superspace