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Spontaneous Breaking of Restricted Weyl Symmetry in Pure R^2 Gravity

Ariel Edery · CERN

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About

Recent work has shown that pure R^2 gravity (i.e. R^2 gravity with no extra R term) has a symmetry that is larger than scale symmetry and smaller than full Weyl symmetry. This has been dubbed restricted Weyl symmetry as it involves a Weyl transformation where the conformal factor has a constraint. Most importantly, this symmetry is spontaneously broken when the vacuum (background spacetime) has a non-zero Ricci scalar. In this case, the theory can be shown to be equivalent to Einstein gravity with non-zero cosmological constant and a massless scalar field. The massless scalar field is identified as the Goldstone boson of the broken sector. In spontaneously broken theories, the original symmetry of the Lagrangian is realized as a shift symmetry of the Goldstone bosons. We show that this is the case also here. The unbroken R=0 sector is completely different and has no connection to Einstein gravity..

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The talk

  1. Spontaneous Breaking of Restricted Weyl Symmetry in Pure R^2 Gravity 2019-01-29 · 25 min · CERN's player

Credits and licence

Institution
CERN
Department
TH institutes
Speaker
Ariel Edery
Year
2019
Language
English
Subjects
Physics, Astronomy and space
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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