Three-Dimensional Extended Bargmann Supergravity

Three-Dimensional Extended Bargmann Supergravity

We show that three-dimensional general relativity, augmented with two vector fields, allows for a nonrelativistic limit, different from the standard limit leading to Newtonian gravity, that results in a well-defined action which is of the Chern-Simons type. We show that this three-dimensional "...

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Veröffentlicht in:Physical review letters 2016-06, Vol.116 (25), p.251601-251601, Article 251601
Hauptverfasser: Bergshoeff, Eric, Rosseel, Jan
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Sprache:eng
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Coupling
Equations of motion
Fields (mathematics)
Gravitation
Localization
Mathematical analysis
Relativity
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creator Bergshoeff, Eric
Rosseel, Jan
description We show that three-dimensional general relativity, augmented with two vector fields, allows for a nonrelativistic limit, different from the standard limit leading to Newtonian gravity, that results in a well-defined action which is of the Chern-Simons type. We show that this three-dimensional "extended Bargmann gravity," after coupling to matter, leads to equations of motion allowing a wider class of background geometries than the ones that one encounters in Newtonian gravity. We give the supersymmetric generalization of these results and point out an important application in the context of calculating partition functions of nonrelativistic field theories using localization techniques.
doi_str_mv 10.1103/PhysRevLett.116.251601
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source American Physical Society Journals
subjects Coupling
Equations of motion
Fields (mathematics)
Gravitation
Localization
Mathematical analysis
Relativity
title Three-Dimensional Extended Bargmann Supergravity
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