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Soft and Collinear Limits in $\mathcal{N}=8$ Supergravity using Double Copy Formalism
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abstract
It is known that $\mathcal{N}=8$ supergravity is dual to $\mathcal{N}=4$ super Yang-Mills (SYM) via the double copy relation. Using the explicit relation between scattering amplitudes in the two theories, we calculate the soft and collinear limits in $\mathcal{N}=8$ supergravity from know results in $\mathcal{N}=4$ SYM. In our application of double copy, a particular self-duality condition is chosen for scalars that allows us to constrain and determine the R-symmetry indices of the supergravity states in the collinear limit.
Forward citations
Cited by 2 Pith papers
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Multi-Particle Contributions to the Celestial Algebra in the ${\cal N}=8$ Supergravity
Multi-particle OPEs of single-particle celestial operators with two-particle operators in N=8 supergravity yield ninety-five (anti)commutators of the soft current algebra plus amplitude relations.
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A Supersymmetric $w_{1+\infty}$ Symmetry, the Extended Supergravity and the Celestial Holography
An N=4 supersymmetric w_{1+∞} algebra at λ=1/4 is proposed as the celestial soft current algebra of N=4 SO(4) supergravity, with truncations covering N=2,3 and matter-coupled cases.
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