Double-soft behavior of the dilaton of spontaneously broken conformal invariance

DOI10.1007/JHEP09(2017)001zbMATH Open1382.81177arXiv1705.06175OpenAlexW2614300914MaRDI QIDQ1705895

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Publication date: 19 March 2018

Published in: (Search for Journal in Brave)

Abstract: The Ward identities involving the currents associated to the spontaneously broken scale and special conformal transformations are derived and used to determine, through linear order in the two soft-dilaton momenta, the double-soft behavior of scattering amplitudes involving two soft dilatons and any number of other particles. It turns out that the double-soft behavior is equivalent to performing two single-soft limits one after the other. We confirm the new double-soft theorem perturbatively at tree-level in a $D$-dimensional conformal field theory model, as well as nonperturbatively by using the "gravity dual of $calN=4$ super Yang-Mills on the Coulomb branch; i.e. the Dirac-Born-Infeld action on AdS${}_{5}imes{S}^5$.

Full work available at URL: https://arxiv.org/abs/1705.06175

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