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We construct conformal Carroll geometry by gauging the conformal Carroll algebra. In doing so, we pay special attention to the way the so-called intrinsic torsion tensor components enter into the transformation rules of the geometric fields. As an application of our results, we couple a single electric/magnetic massless scalar to conformal Carroll gravity and show how, upon gauge-fixing the dilatations, we obtain a non-conformal version of electric/magnetic Carroll gravity.

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Applied Conformal Carroll Geometry

  • 会议论文

  • 发表日期：

    2026年

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  • Eric A. Bergshoeff,
  • Patrick Concha,
  • Octavio Fierro,
  • Evelyn Rodríguez,
  • Jan Rosseel

摘要

We construct conformal Carroll geometry by gauging the conformal Carroll algebra. In doing so, we pay special attention to the way the so-called intrinsic torsion tensor components enter into the transformation rules of the geometric fields. As an application of our results, we couple a single electric/magnetic massless scalar to conformal Carroll gravity and show how, upon gauge-fixing the dilatations, we obtain a non-conformal version of electric/magnetic Carroll gravity.