Three-dimensional non-relativistic extended supergravity with cosmological constant

Abstract

In this paper, we present novel non-relativistic superalgebras which correspond to supersymmetric extensions of the enlarged extended Bargmann algebra. The three-dimensional non-relativistic Chern-Simons supergravity actions invariant under the aforementioned superalgebras are constructed. The new non-relativistic superalgebras allow to accommodate a cosmological constant in a non-relativistic supergravity theory. Interestingly, we show that one of the non-relativistic supergravity theories presented here leads to the recently introduced Maxwellian exotic Bargmann supergravity when the flat limit $\ell \to \infty$ is considered. Besides, we show that both descriptions can be written in terms of a supersymmetric extension of the Nappi-Witten algebra or the extended Newton-Hooke superalgebra.

arXiv comment34 pages

References in corpus (81)

• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Gravity Duals of Lifshitz-like Fixed Points
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Rigid Supersymmetric Theories in Curved Superspace
• A WZW model based on a non-semi-simple group
• Hall Viscosity and Electromagnetic Response
• Galilean Conformal Algebras and AdS/CFT
• Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
• The exotic Galilei group and the "Peierls substitution"
• Torsional Newton-Cartan Geometry and Lifshitz Holography
• Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
• Lifshitz holography
• GCA in 2d
• Electromagnetic and gravitational responses of two-dimensional non-interacting electrons in background magnetic field
• Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity
• Expanding Lie (super)algebras through abelian semigroups
• Lifshitz Space-Times for Schroedinger Holography
• New supergravities with central charges and Killing spinors in 2+1 dimensions
• Schroedinger Invariance from Lifshitz Isometries in Holography and Field Theory
• Minimal Massive 3D Gravity
• Newton-Hooke spacetimes, Hpp-waves and the cosmological constant
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• Three-Dimensional Extended Bargmann Supergravity
• Wess-Zumino term for the AdS superstring and generalized Inonu-Wigner contraction
• Newton-Cartan Supergravity
• Relating non-relativistic string theories
• (2+1)D Exotic Newton-Hooke Symmetry, Duality and Projective Phase
• Anyon spin and the exotic central extension of the planar Galilei group
• Curved non-relativistic spacetimes, Newtonian gravitation and massive matter
• Non-Relativistic Chern-Simons Theories and Three-Dimensional Horava-Lifshitz Gravity
• Boundary effective action for quantum Hall states
• Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes
• Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane
• Tensor extension of the Poincaré algebra
• Expansions of algebras and superalgebras and some applications
• A Chern-Simons approach to Galilean quantum gravity in 2+1 dimensions
• Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz Vacuum
• Deformations of Maxwell algebra and their Dynamical Realizations
• The Projective Unitary Irreducible Representations of the Galilei Group in 1+2 Dimensions
• Non-Relativistic Spacetimes with Cosmological Constant
• Semi-simple extension of the (super)Poincaré algebra
• Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
• Non-Relativistic Maxwell Chern-Simons Gravity
• Lie Algebra Expansions and Actions for Non-Relativistic Gravity
• Galilean quantum gravity with cosmological constant and the extended q-Heisenberg algebra
• AdS Carroll Chern-Simons supergravity in 2+1 dimensions and its flat limit
• Pure Lovelock gravity and Chern-Simons theory
• More D-branes in the Nappi-Witten background
• On the Maxwell supergravity and flat limit in 2+1 dimensions
• Hidden Role of Maxwell Superalgebras in the Free Differential Algebras of D=4 and D=11 Supergravity
• Three-Dimensional Extended Newtonian (Super)Gravity
• Generalizing the ${\mathfrak{bms}}_3$ and 2D-conformal algebras by expanding the Virasoro algebra
• Non-relativistic symmetries in three space-time dimensions and the Nappi-Witten algebra
• Non-Relativistic Gravity Theory based on an Enlargement of the Extended Bargmann Algebra
• General properties of the expansion methods of Lie algebras
• Lovelock gravities from Born-Infeld gravity theory
• Three-dimensional Maxwellian extended Bargmann supergravity
• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• Hidden Gauge Structure of Supersymmetric Free Differential Algebras
• $\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions
• Generalized Pure Lovelock Gravity
• Three-Dimensional Extended Lifshitz, Schrödinger and Newton-Hooke Supergravity
• Conformal and projective symmetries in Newtonian cosmology
• Bianchi spaces and their 3-dimensional isometries as S-expansions of 2-dimensional isometries
• Can Chern-Simons or Rarita-Schwinger be a Volkov-Akulov Goldstone?
• More on the Hidden Symmetries of 11D Supergravity
• Generalized supersymmetric cosmological term in N=1 Supergravity
• Three-dimensional exotic Newtonian gravity with cosmological constant
• On the supersymmetry invariance of flat supergravity with boundary
• N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions
• Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions
• Semi-simple enlargement of the ${\mathfrak{bms}}_3$ algebra from a $\mathfrak{so}(2,2)\oplus \mathfrak{so}(2,1)$ Chern-Simons theory
• Geometrical aspects of the Lie Algebra S-Expansion Procedure
• Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra
• An Analytic Method for $S$-Expansion involving Resonance and Reduction
• Generalized AdS-Lorentz deformed supergravity on a manifold with boundary
• Infinite S-Expansion with Ideal Subtraction and Some Applications
• Three-Dimensional Higher-Order Schrödinger Algebras and Lie Algebra Expansions
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• On Stabilization of Maxwell-BMS Algebra

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• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
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• Non-Relativistic and Ultra-Relativistic Scaling Limits of Multimetric Gravity
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• Extended Kinematical 3D Gravity Theories
• 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
• Four dimensional topological supergravities from transgression field theory
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• $\mathcal{N}=2$ resonant superalgebra for supergravity