New symmetries for the gravitational S-matrix

By Miguel Campiglia, Alok Laddha. 2015

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A bstractIn [15] we proposed a generalization of the BMS group G$$ \mathcal{G} $$ which is a semi-direct product of supertranslations and smooth diffeomorphisms of the conformal sphere. Although an extension of BMS, G$$ \mathcal{G} $$ is a symmetry group of asymptotically flat space times. By taking G$$ \mathcal{G} $$ as a candidate symmetry group of the quantum gravity S-matrix, we argued that the Ward identities associated to the generators of Diff(S2) were equivalent to the Cachazo-Strominger subleading soft graviton theorem. Our argument however was based on a proposed definition of the Diff(S2) charges which we could not derive from first principles as G$$ \mathcal{G} $$ does not have a well defined action on the radiative phase space of gravity. Here we fill this gap and provide a first principles derivation of the Diff(S2) charges. The result of this paper, in conjunction with the results of [4, 15] prove that the leading and subleading soft theorems are equivalent to the Ward identities associated to G$$ \mathcal{G} $$.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c82e5226a9c6e9a0bc1e642ec2e883bae03d0ed0

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Citations in the corpus

Higher-Dimensional Supertranslations and Weinberg's Soft Graviton Theorem (2015, background): “Further investigations along these lines have established a robust and detailed correspondence between soft theorems for gauge theory/gravity scattering amplitudes and Ward identities for extended asymptotic symmetry groups [7, 8, 10–22].”
Soft Hair on Black Holes. (2016, methodology): “This exact equivalence has provided fundamentally new perspectives on both BMS symmetry and the soft graviton theorem, as well as more generally the infrared behavior of gravitational theories [5,7,9-39].”
Flat holography: aspects of the dual field theory (2016, background): “In [58], the same set of authors concluded that the Virasoro central terms were (2)This section was worked out in collaboration with Anandita De (3)Here it is of interest to mention that the BMS4 group has also been recently extended differently to include all smooth vector fields on S(2) instead of”
Lectures on the Infrared Structure of Gravity and Gauge Theory (2017, background): “[14] M. Campiglia and A. Laddha, “Asymptotic symmetries of QED and Weinberg’s soft photon theorem,” JHEP 07 (2015) 115, arXiv:1505.05346 [hep-th].”
Classical and quantum results on logarithmic terms in the soft theorem in four dimensions (2018, background): “Soft theorems [1–12] have been analyzed recently from different perspectives, both using asymptotic symmetries [13–36] and also by direct analysis of amplitudes in field theory and string theory [37–87].”
Superrotation charge and supertranslation hair on black holes (2016, background): “In this section we review a few salient facts about asymptotically flat spacetimes in classical general relativity (GR) and the newly-discovered infinite number of conserved supertranslation [2] and superrotation [7, 26, 84] charges.”