Double Soft Graviton Theorems and BMS Symmetries

Abstract

It is now well understood that Ward identities associated to the (extended) BMS algebra are equivalent to single soft graviton theorems. In this work, we show that if we consider nested Ward identities constructed out of two BMS charges, a class of double soft factorization theorems can be recovered. By making connections with earlier works in the literature, we argue that at the sub-leading order, these double soft graviton theorems are the so-called consecutive double soft graviton theorems. We also show how these nested Ward identities can be understood as Ward identities associated to BMS symmetries in scattering states defined around (non-Fock) vacua parametrized by supertranslations or superrotations.

29 pages, minor changes added, footnote 3 removed, consistency check with Ref:22 settled

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Cited by in corpus (15)

• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Generalized BMS charge algebra
• Logarithmic Terms in the Soft Expansion in Four Dimensions
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Revisiting the Shadow Stress Tensor in Celestial CFT
• $T\bar{T}$ deformed soft theorem
• Soft and Collinear Limits in $\mathcal{N}=8$ Supergravity using Double Copy Formalism
• Generalized BMS Algebra at Timelike Infinity
• BMS Algebra, Double Soft Theorems, and All That
• Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and Gravity
• Topics in Asymptotic Symmetries and Infrared Effects
• Infrared photons and asymptotic symmetries
• Charge algebra for non-abelian large gauge symmetries at $O(r)$
• Double-soft limit and celestial shadow OPE from charge bracket
• Spin Multipole Expansion of the Memory Effect