Non-relativistic Maxwell Chern-Simons gravity

@article{Avils2018NonrelativisticMC,
  title={Non-relativistic Maxwell Chern-Simons gravity},
  author={Luis Avil{\'e}s and Ernesto Frodden and Joaquim Gomis and Diego Hidalgo and Jorge Zanelli},
  journal={Journal of High Energy Physics},
  year={2018},
  volume={2018},
  pages={1-21}
}
A bstractWe consider a non-relativistic (NR) limit of (2 + 1)-dimensional Maxwell Chern-Simons (CS) gravity with gauge algebra [Maxwell] ⊕ u(1) ⊕ u(1). We obtain a finite NR CS gravity with a degenerate invariant bilinear form. We find two ways out of this difficulty: to consider i) [Maxwell] ⊕ u(1), which does not contain Extended Bargmann gravity (EBG); or, ii) the NR limit of [Maxwell] ⊕ u(1)⊕u(1)⊕u(1), which is a Maxwellian generalization of the EBG. 
View on Springer
[PDF] Semantic Reader
64 Citations
Highly Influential Citations
10
Background Citations
21
Methods Citations
13
Results Citations
1

64 Citations

Hypersymmetric extensions of Maxwell-Chern-Simons gravity in 2+1 dimensions

We present a consistent way of coupling three-dimensional Maxwell Chern-Simons gravity theory with massless spin5 2 gauge fields. We first introduce the simplest hyper-Maxwell ChernSimons gravity…

Non-relativistic gravity theory based on an enlargement of the extended Bargmann algebra

A bstractIn this work we study a non-relativistic three dimensional Chern-Simons gravity theory based on an enlargement of the Extended Bargmann algebra. A finite nonrelativistic Chern-Simons gravity…

Chern-Simons Theory and Minimal Massive Gravity

We show that minimal massive 3d gravity (MMG) of [1], as well as the topological massive gravity, are particular cases of a more general ‘minimal massive gravity’ theory (with a single massive…

Non-relativistic gravity theory based on an enlargement of the extended Bargmann algebra

In this work we study a non-relativistic three dimensional Chern-Simons gravity theory based on an enlargement of the Extended Bargmann algebra. A finite nonrelativistic Chern-Simons gravity action…

N-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions

Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity

We construct finite- and infinite-dimensional non-relativistic extensions of the Newton-Hooke and Carroll (A)dS algebras using the algebra expansion method, starting from the (anti-)de Sitter…

Three-dimensional Maxwellian extended Bargmann supergravity

We present a novel three-dimensional non-relativistic Chern-Simons supergravity theory invariant under a Maxwellian extended Bargmann superalgebra. We first study the non-relativistic limits of the…

Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant

Three-dimensional extended Newtonian (super)gravity

A bstractWe present a three dimensional non-relativistic model of gravity that is invariant under the central extension of the symmetry group that leaves the recently constructed Newtonian gravity…

Asymptotic symmetries of three-dimensional Chern-Simons gravity for the Maxwell algebra

A bstractWe study a three-dimensional Chern-Simons gravity theory based on the Maxwell algebra. We find that the boundary dynamics is described by an enlargement and deformation of the bms3 algebra…
...

References

SHOWING 1-10 OF 52 REFERENCES

GAUGED ADS–MAXWELL ALGEBRA AND GRAVITY

We deform the anti-de Sitter algebra by adding additional generators , forming in this way the negative cosmological constant counterpart of the Maxwell algebra. We gauge this algebra and construct a…

Newton–Cartan (super)gravity as a non-relativistic limit

We define a procedure that, starting from a relativistic theory of supergravity, leads to a consistent, non-relativistic version thereof. As a first application we use this limiting procedure to show…

On free Lie algebras and particles in electro-magnetic fields

A bstractThe Poincaré algebra can be extended (non-centrally) to the Maxwell algebra and beyond. These extensions are relevant for describing particle dynamics in electromagnetic backgrounds and…

Massive gravity in three dimensions.

The extension to massive N-extended supergravity is discussed, the "cosmological" extension that admits an anti-de Sitter vacuum is presented, and a more general model propagates the two spin-2 helicity states with different masses.

Bargmann structures and Newton-Cartan theory.

It is shown that Newton-Cartan theory of gravitation can best be formulated on a five-dimensional extended space-time carrying a Lorentz metric together with a null parallel vector field. The…

Maxwell superalgebra and superparticles in constant gauge backgrounds.

A new kappa-invariant massless superparticle model providing a dynamical realization of the Maxwell superalgebra is proposed, using the techniques of nonlinear coset realization to the Maxwellsupergroup.

Generalized cosmological term from Maxwell symmetries

By gauging the Maxwell spacetime algebra the standard geometric framework of Einstein gravity with cosmological constant term is extended by adding six fourvector fields A_\mu^{ab}(x) associated with…

Newtonian gravity and the Bargmann algebra

We show how the Newton–Cartan formulation of Newtonian gravity can be obtained from gauging the Bargmann algebra, i.e. the centrally extended Galilean algebra. In this gauging procedure several…

(2$+$1)-dimensional gravity from Maxwell and semisimple extension of the Poincaré gauge symmetric models

We obtain 2 + 1 dimensional gravity with cosmological constant which is coupled to gauge fields, using Maxwell and semi-simple extension of the Poincare gauge symmetric models (i.e. Chern-Simons…

‘Stringy’ Newton–Cartan gravity

We construct a ‘stringy’ version of Newton–Cartan gravity in which the concept of a Galilean observer plays a central role. We present both the geodesic equations of motion for a fundamental string…
...