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  2. Non-relativistic gravity theory based on an enlargement of the extended Bargmann algebra
 
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Non-relativistic gravity theory based on an enlargement of the extended Bargmann algebra
Dra. Rodríguez-Durán, Evelyn 
Concha, Patrick
10.1007/JHEP07(2019)085
Springer Nature
2019
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 is obtained through the non-relativistic contraction of a particular U(1) enlargement of the so-called AdS-Lorentz algebra. We show that the non-relativistic gravity theory introduced here reproduces the Maxwellian Exotic Bargmann gravity theory when a flat limit ℓ → ∞ is applied. We also present an alternative procedure to obtain the non-relativistic versions of the AdS-Lorentz and Maxwell algebras through the semigroup expansion method.
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Chern-Simons theories
Field theories in lower dimensions
Gauge symmetry
Space-time symmetries
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