4 papers
Planons and their Carroll-Galilei symmetries
José Figueroa-O'Farrill, Simon Pekar, Alfredo Pérez +1
We study the dynamics of planons, particles whose mobility is restricted to a plane, through the classification of coadjoint orbits and unitary irreducible representations of the c…
A note on non-Lorentzian duality symmetries
Josh A. O'Connor, Simon Pekar
We work out non-Lorentzian dual actions for electromagnetism and linearised gravity, both in the Carrollian and Galilean cases. This is done in the same way as for Lorentzian theor…
Fractons on curved spacetime in dimensions
Jelle Hartong, Giandomenico Palumbo, Simon Pekar +2
We study dipole Chern-Simons theory with and without a cosmological constant in dimensions. We write the theory in a second order formulation and show that this leads to a fr…
Cartan-like formulation of electric Carrollian gravity
Simon Pekar, Alfredo Pérez, Patricio Salgado-Rebolledo
We present a Cartan-like first-order action principle for electric Carrollian gravity. The action is invariant under the local homogeneous Carroll group, albeit in a different repr…