Carroll gravity from the conformal approach
J. Rosseel*,
E. Bergshoeff,
P. Concha,
O. Fierro and
E. Rodríguez*: corresponding author
Pre-published on:
December 09, 2025
Published on:
December 10, 2025
Abstract
We show how electric and magnetic Carroll gravity can be constructed using conformal methods. We first review the conformal approach to relativistic Einstein-Hilbert gravity. Next, we consider a set of independent and dependent gauge fields of the conformal Carroll algebra, paying special attention to the way intrinsic torsion tensor components appear in their transformation rules. We then couple a single electric/magnetic massless scalar to these conformal Carroll gauge fields and show how, upon gauge-fixing the dilatations, we obtain a non-conformal version of electric/magnetic Carroll gravity.
DOI: https://doi.org/10.22323/1.490.0160
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