A non-lorentzian primer
Eric Bergshoeff, José Figueroa-O'Farrill, Joaquim Gomis
SciPost Phys. Lect. Notes 69 (2023) · published 31 May 2023
- doi: 10.21468/SciPostPhysLectNotes.69
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Abstract
We review both the kinematics and dynamics of non-lorentzian theories and their associated geometries. First, we introduce non-lorentzian kinematical spacetimes and their symmetry algebras. Next, we construct actions describing the particle dynamics in some of these kinematical spaces using the method of nonlinear realisations. We explain the relation with the coadjoint orbit method. We continue discussing three types of non-lorentzian gravity theories: Galilei gravity, Newton-Cartan gravity and Carroll gravity. Introducing matter, we discuss electric and magnetic non-lorentzian field theories for three different spins: spin-0, spin-1/2 and spin-1, as limits of relativistic theories.
Cited by 34
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Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Eric A. Bergshoeff,
- 2 José Figueroa-O'Farrill,
- 3 Joaquim Gomis
- 1 Rijksuniversiteit Groningen / University of Groningen [UG]
- 2 University of Edinburgh
- 3 Universitat de Barcelona / University of Barcelona [UB]
- Ministerio de Ciencia, Innovación y Universidades
- Ministerio de Economía y Competitividad (MINECO) (through Organization: Ministerio de Economía, Industria y Competitividad / Ministry of Economy, Industry and Competitiveness [MINECO])