Three-Dimensional Extended Lifshitz, Schrödinger and Newton-Hooke Supergravity

Abstract

We provide a systematic analysis of three-dimensional N = 2 extended Bargmann superalgebra and its Newton-Hooke, Lifshitz and Schrödinger extensions. These algebras admit invariant non-degenerate bi-linear forms which we utilized to construct corresponding Chern-Simons supergravity actions.

arXiv comment21 pages, v3, version appeared in JHEP

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• Non-relativistic three-dimensional supergravity theories and semigroup expansion method
• Three-dimensional non-relativistic extended supergravity with cosmological constant
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
• Three-dimensional exotic Newtonian supergravity theory with cosmological constant
• Generalized Newton-Cartan Geometries for Particles and Strings
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Non-Relativistic and Ultra-Relativistic Scaling Limits of Multimetric Gravity
• Three-dimensional non-relativistic supergravity and torsion
• Three-Dimensional Higher-Order Schrödinger Algebras and Lie Algebra Expansions
• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• Extended Kinematical 3D Gravity Theories
• Three-dimensional Newtonian gravity with cosmological constant and torsion
• Non-relativistic gravity theories in four spacetime dimensions
• Three-dimensional teleparallel Chern-Simons supergravity theory
• Lie Algebra Expansions, Non-Relativistic Matter Multiplets and Actions
• Non-Lorentzian Supergravity and Kinematical Superalgebras
• Hietarinta Chern-Simons supergravity and its asymptotic structure
• Three-dimensional non-relativistic Hietarinta supergravity
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity