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Journal of High Energy Physics

, 2018:200 | Cite as

Superboost transitions, refraction memory and super-Lorentz charge algebra

  • Geoffrey Compère
  • Adrien Fiorucci
  • Romain Ruzziconi
Open Access
Regular Article - Theoretical Physics

Abstract

We derive a closed-form expression of the orbit of Minkowski spacetime under arbitrary Diff(S2) super-Lorentz transformations and supertranslations. Such vacua are labelled by the superboost, superrotation and supertranslation fields. Impulsive transitions among vacua are related to the refraction memory effect and the displacement memory effect. A phase space is defined whose asymptotic symmetry group consists of arbitrary Diff(S2) super-Lorentz transformations and supertranslations. It requires a renormalization of the symplectic structure. We show that our final surface charge expressions are consistent with the leading and subleading soft graviton theorems. We contrast the leading BMS triangle structure to the mixed overleading/subleading BMS square structure.

Keywords

Classical Theories of Gravity Gauge Symmetry Space-Time Symmetries 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Geoffrey Compère
    • 1
  • Adrien Fiorucci
    • 1
  • Romain Ruzziconi
    • 1
  1. 1.Université Libre de Bruxelles and International Solvay InstitutesBrusselsBelgium

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