Soft Theorem of N=4 SYM in Grassmannian Formulation

Abstract

Inspired by the new soft theorem in gravity by Cachazo and Strominger, the soft theorem for color-ordered Yang-Mills amplitudes has also been identified by Casali. In this note, the same content of N=4 SYM using the Grassmannian formulation is studied. Explicitly, in the holomorphic soft limit, we reduce the n-particle amplitude in terms of Grassmannian contour integrations into the deformed (n-1)-particle amplitude by localizing k variables relevant to the n-th particle. Afterwards, the leading soft factor and sub-leading soft operator naturally emerge.

arXiv comment17 pages, 2 appendices

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• Subsubleading soft theorems of gravitons and dilatons in the bosonic string
• Conformally Soft Fermions
• Grassmannians and form factors with $q^2=0$ in N=4 SYM theory
• Wilson lines, Grassmannians and Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Note on Identities Inspired by New Soft Theorems
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM