Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
arXiv:1408.0764 · doi:10.1007/JHEP01(2015)081
Abstract
We expose a double-copy structure in the scattering amplitudes of the generic Jordan family of N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity theories in four and five dimensions. The Maxwell-Einstein supergravity amplitudes are obtained through the color/kinematics duality as a product of two gauge-theory factors; one originating from pure N=2 super-Yang-Mills theory and the other from the dimensional reduction of a bosonic higher-dimensional pure Yang-Mills theory. We identify a specific symplectic frame in four dimensions for which the on-shell fields and amplitudes from the double-copy construction can be identified with the ones obtained from the supergravity Lagrangian and Feynman-rule computations. The Yang-Mills/Einstein supergravity theories are obtained by gauging a compact subgroup of the isometry group of their Maxwell-Einstein counterparts. For the generic Jordan family this process is identified with the introduction of cubic scalar couplings on the bosonic gauge-theory side, which through the double copy are responsible for the non-abelian vector interactions in the supergravity theory. As a demonstration of the power of this structure, we present explicit computations at tree-level and one loop. The double-copy construction allows us to obtain compact expressions for the supergravity superamplitudes which are naturally organized as polynomials in the gauge coupling constant.
60 pages, 2 figures, PDFLaTex, version published on JHEP
References in corpus (20)
- Minimal Basis for Gauge Theory Amplitudes
- Three-Loop Superfiniteness of N=8 Supergravity
- The Momentum Kernel of Gauge and Gravity Theories
- The Kinematic Algebra From the Self-Dual Sector
- Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
- Lectures on Gauged Supergravity and Flux Compactifications
- Is N = 8 Supergravity Ultraviolet Finite?
- E7(7) constraints on counterterms in N=8 supergravity
- Ultraviolet properties of Maximal Supergravity
- Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
- A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
- 5 loops in 24/5 dimensions
- On duality symmetries of supergravity invariants
- Multiparticle SYM equations of motion and pure spinor BRST blocks
- E7(7) symmetry in perturbatively quantised N=8 supergravity
- Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
- N=8 Counterterms and E7(7) Current Conservation
- Scattering equations and virtuous kinematic numerators and dual-trace functions
- The Ultraviolet Finiteness of N=8 Supergravity
- Note on symmetric BCJ numerator