In planar N=4 SYM the IR-finite hard amplitude satisfies an uncorrected tree-level soft theorem and represents the undeformed tree-level S-algebra of soft gluons.
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A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
Fixing null-infinity boundary action ambiguities via 5-point amplitude constraints yields subleading soft theorems and proposes generalized Geroch-tensor Goldstone modes for sub^n-leading soft graviton insertions.
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Soft Algebra for ${\cal N}=4$ SYM
In planar N=4 SYM the IR-finite hard amplitude satisfies an uncorrected tree-level soft theorem and represents the undeformed tree-level S-algebra of soft gluons.
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The gravitational S-matrix from the path integral: asymptotic symmetries and soft theorems
A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
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On symmetries of gravitational on-shell boundary action at null infinity
Fixing null-infinity boundary action ambiguities via 5-point amplitude constraints yields subleading soft theorems and proposes generalized Geroch-tensor Goldstone modes for sub^n-leading soft graviton insertions.
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