The Complete KLT-Map Between Gravity and Gauge Theories

Abstract

We present the complete map of any pair of super Yang-Mills theories to supergravity theories as dictated by the KLT relations in four dimensions. Symmetries and the full set of associated vanishing identities are derived. A graphical method is introduced which simplifies counting of states, and helps in identifying the relevant set of symmetries.

41 pages, 16 figures, published version, typos corrected, references added

References in corpus (8)

• Minimal Basis for Gauge Theory Amplitudes
• 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
• Generating Tree Amplitudes in N=4 SYM and N=8 SG
• A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
• Stringy KLT relations, global symmetries, and E_7(7) violation
• New Identities among Gauge Theory Amplitudes

Cited by in corpus (18)

• On-shell Techniques and Universal Results in Quantum Gravity
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• Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory
• A double copy for $\mathcal{N}=2$ supergravity: a linearised tale told on-shell
• Double Copy from Homotopy Algebras
• Are all supergravity theories Yang-Mills squared?
• Twin Supergravities from Yang-Mills Squared
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• $D=6$, $\mathcal{N}=(2,0)$ and $\mathcal{N}=(4,0)$ theories
• On powercounting in perturbative quantum gravity theories through color-kinematic duality
• Global symmetries of Yang-Mills squared in various dimensions
• Gauge $\times$ Gauge on Spheres
• Absence of U(1) Anomalous Superamplitudes in $\mathcal{N}\ge 5$ Supergravities
• KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry
• Double copies of fermions as only gravitational interacting matter
• BCJ, worldsheet quantum algebra and KZ equations