The Non-Relativistic Superparticle in a Curved Background
arXiv:1406.7286 · doi:10.1103/PhysRevD.90.065006
Abstract
Using a component formulation, we construct the supersymmetric action for a superparticle in a three-dimensional Newton-Cartan supergravity background and clarify its symmetries. Our construction proceeds by first constructing the superparticle in a flat background. Next, by boosting up the background symmetries, we replace in a first step the flat background by a Galilean supergravity background. In a second step the Galilean supergravity background is replaced by a Newton-Cartan supergravity background. We extend our results by adding a supersymmetric cosmological constant and compare the non-relativistic superparticle with the relativistic kappa-symmetric three-dimensional superparticle.
36 pages; v2: added references; v3: more refs; matches published version
References in corpus (18)
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Nonrelativistic conformal field theories
- Galilean Conformal Algebras and AdS/CFT
- Newtonian Gravity and the Bargmann Algebra
- Non-relativistic conformal symmetries and Newton-Cartan structures
- Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
- Galilean Isometries
- Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations
- A new formulation of non-relativistic diffeomorphism invariance
- The construction of brane and superbrane actions using non-linear realisations
- Nonlinear realizations of symmetries and unphysical Goldstone bosons
- N=2 superconformal Newton-Hooke algebra and many-body mechanics
- Non-Relativistic AdS Branes and Newton-Hooke Superalgebra
- N=4 superconformal mechanics as a Non linear Realization
- Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations
- Diffeomorphism, kappa transformations and the theory of non-linear realisations
- Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries