Lie algebra expansions and actions for non-relativistic gravity

2019/04/30 by Eric Bergshoeff, Jose Manuel Izquierdo, José Manuel Izquierdo +3 · 51 citations
Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Current algebra #Graded Lie algebra #Lie algebra #Lie conformal algebra #Lie group #Noncommutative and Quantum Gravity Theories #Super-Poincaré algebra #Supergravity #hep-th

paper · pdf · doi:10.1007/jhep08(2019)048

published in Journal of High Energy Physics 2019(8) (Springer Nature) · 37 pages, 1 figure; v2: minor editing plus added references

openalex created_date 2019/04/25 · arxiv created 2019/05/15 · openalex publication_date 2019/08/01 · arxiv updated 2019/09/04 · openalex updated_date 2026/08/05

Abstract

A bstract We show that the general method of Lie algebra expansions can be applied to re-construct several algebras and related actions for non-relativistic gravity that have occurred in the recent literature. We explain the method and illustrate its applications by giving several explicit examples. The method can be generalized to include ultra-relativistic gravity and non-relativistic supergravity as well.

Citations

• Generalizations of Maxwell (super)algebras by the expansion method
• Maxwell superalgebras and Abelian semigroup expansion
• Nonrelativistic closed string theory
• Three-dimensional spin-3 theories based on general kinematical algebras
• Carroll versus Galilei gravity

Cited by

• Postcarrollian gravity
• Interacting Galilean and Finite-Energy Carroll Fermions