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Double Soft Graviton Theorems and BMS Symmetries
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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.
Forward citations
Cited by 2 Pith papers
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Gravitational memory and Ward identities in the local detector frame
Gravitational memory in TT gauge is encoded in large residual diffeomorphisms that equal BMS transformations, and their Ward identities yield soft graviton theorems and flat-space consistency relations.
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Gravitational memory and soft theorems: The local perspective
Gravitational memory is shown to be a large residual coordinate transformation in TT gauge, yielding new flat-space soft theorems for equal-time correlators that mirror inflationary consistency relations.
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