A conformal approach to Carroll gravity

Bergshoeff, Eric A.; Concha, Patrick; Fierro, Octavio; Rodríguez, Evelyn; Rosseel, Jan (2025) A conformal approach to Carroll gravity. Journal of High Energy Physics, 2025 (7). ISSN 1029-8479

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Abstract

We show how to take the first step in the conformal program for constructing general matter couplings to Carroll gravity. In particular, we couple a single massless electric/magnetic scalar to conformal Carroll gravity with isotropic dilatations and show how, upon gauge-fixing, we obtain a (non-conformal version of) electric/magnetic Carroll gravity. We determine the full Carroll transformation rules paying special attention to the way the so-called intrinsic torsion tensors occur in these transformation rules. A noteworthy feature in the magnetic case is that the Lagrange multiplier present in the Lagrangian gets absorbed, after coupling to conformal Carroll gravity and gauge-fixing, into one of the independent spin-connections of magnetic Carroll gravity. Our results form a convenient starting point for constructing general matter couplings to Carroll gravity. Surprisingly, we find that the same relation between dynamical matter and gravity, which forms the basis of the conformal program, does not work in the usual way in the Galilei case.

Item Type:	Article
Uncontrolled Keywords:	Classical Theories of Gravity; Space-Time Symmetries
Subjects:	NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Nerelativistička supergravitacija i primjene Jan Rosseel IP-2022-10-5980 HRZZ
Depositing User:	Ema Buhin Šaler
Date Deposited:	04 Mar 2026 08:15
URI:	http://fulir.irb.hr/id/eprint/11305
DOI:	10.1007/jhep07(2025)075

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