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Three-Dimensional Extended Bargmann Supergravity.

Eric Bergshoeff1, Jan Rosseel2

  • 1Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands.

Physical Review Letters
|July 9, 2016
PubMed
Summary
This summary is machine-generated.

We introduce a new nonrelativistic limit for three-dimensional gravity, yielding a Chern-Simons type action. This "extended Bargmann gravity" expands background geometries beyond Newtonian gravity and has applications in field theory calculations.

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Area of Science:

  • Theoretical physics
  • Gravitational physics
  • Mathematical physics

Background:

  • General relativity describes gravity but lacks a nonrelativistic limit yielding Chern-Simons actions.
  • Newtonian gravity is the standard nonrelativistic limit of general relativity.
  • Extended Bargmann gravity is a novel theoretical framework.

Purpose of the Study:

  • To explore a new nonrelativistic limit of three-dimensional gravity.
  • To investigate the properties and applications of this extended Bargmann gravity.
  • To develop supersymmetric generalizations and explore connections to field theory.

Main Methods:

  • Augmenting three-dimensional general relativity with two vector fields.
  • Deriving a nonrelativistic limit resulting in a Chern-Simons type action.
  • Coupling the theory to matter to derive equations of motion.
  • Applying supersymmetric generalizations and localization techniques.

Main Results:

  • A novel nonrelativistic limit for three-dimensional gravity was identified.
  • This limit results in a well-defined Chern-Simons type action.
  • The extended Bargmann gravity allows for a broader range of background geometries than Newtonian gravity.
  • Supersymmetric generalizations were achieved, with applications in calculating partition functions of nonrelativistic field theories.

Conclusions:

  • The developed extended Bargmann gravity offers a new perspective on nonrelativistic gravitational theories.
  • This framework expands the scope of solvable background geometries in gravity.
  • The theory has significant implications for advanced calculations in nonrelativistic field theories, particularly using localization techniques.