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New soft theorems for the gravity dilaton and the Nambu-Goldstone dilaton at subsubleading order
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We study the soft behavior of two seemingly different particles that are both referred to as dilatons in the literature, namely the one that appears in theories of gravity and in string theory and the Nambu-Goldstone boson of spontaneously broken conformal invariance. Our primary result is the discovery of a soft theorem at subsubleading order for each dilaton, which in both cases contains the operator of special conformal transformations. Interesting similarities as well as differences between the dilaton soft theorems are discussed.
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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