Carrollian and Non-relativistic Jackiw-Teitelboim Supergravity
arXiv:2204.09643 · doi:10.1140/epjc/s10052-023-11239-x
Abstract
We present non- and ultra-relativistic Jackiw-Teitelboim (JT) supergravity as metric BF theories based on the extended Newton-Hooke and extended AdS Carroll superalgebras in two spacetime dimensions, respectively. The extended Newton-Hooke structure, and, in particular, the invariant metric necessary for the BF construction of non-relativistic JT supergravity, is obtained by performing an expansion of the AdS superalgebra. Subsequently, we introduce the extended AdS Carroll superalgebra, and the associated invariant metric, as a suitable redefinition of the extended Newton-Hooke superalgebra. The mapping involved can be seen as the supersymmetric extension of the duality existing at the purely bosonic level between the extended Newton-Hooke algebra with (positive) negative cosmological constant and the extended (A)dS Carroll algebra in two dimensions. Finally, we provide the Carrollian JT supergravity action in the BF formalism. Moreover, we show that both the non-relativistic and the ultra-relativistic theories presented can also be obtained by direct expansion of JT supergravity.
arXiv commentV2, 26 pages, references and comments added, typos corrected
References in corpus (63)
- A bound on chaos
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Fast Scramblers
- 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
- The entropy of Hawking radiation
- Chaos in AdS holography
- Bekenstein-Hawking Entropy and Strange Metals
- Dilaton Gravity in Two Dimensions
- Towards the fast scrambling conjecture
- Diving into traversable wormholes
- Conformal Carroll groups and BMS symmetry
- Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
- Hall Viscosity and Electromagnetic Response
- Torsional Newton-Cartan Geometry and Lifshitz Holography
- Gauging the Carroll Algebra and Ultra-Relativistic Gravity
- A field-theory motivated approach to symbolic computer algebra
- AdS holography and the SYK model
- Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
- Conformal Carroll groups
- Carroll versus Galilei Gravity
- Electromagnetic and gravitational responses of two-dimensional non-interacting electrons in background magnetic field
- Dynamics of Carroll Particles
- Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity
- Lifshitz Space-Times for Schroedinger Holography
- Tensionless Strings and Galilean Conformal Algebra
- Schroedinger Invariance from Lifshitz Isometries in Holography and Field Theory
- Warped Conformal Field Theory as Lower Spin Gravity
- Non-Relativistic Gravity and its Coupling to Matter
- Tensionless Strings from Worldsheet Symmetries
- Tachyon Condensates, Carrollian Contraction of Lorentz Group, and Fundamental Strings
- Torsional Newton-Cartan gravity from the large expansion of General Relativity
- Three-Dimensional Extended Bargmann Supergravity
- 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
- Flat space holography and complex SYK
- A Chern-Simons approach to Galilean quantum gravity in 2+1 dimensions
- Expansions of algebras and superalgebras and some applications
- Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz Vacuum
- Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity
- Limits of JT gravity
- Tensionless Superstrings: View from the Worldsheet
- Non-Relativistic Maxwell Chern-Simons Gravity
- Lie Algebra Expansions and Actions for Non-Relativistic Gravity
- AdS Carroll Chern-Simons supergravity in 2+1 dimensions and its flat limit
- Pedagogical introduction to SYK model and 2D Dilaton Gravity
- Inhomogeneous Tensionless Superstrings
- Three-Dimensional Extended Newtonian (Super)Gravity
- Boundary theories for dilaton supergravity in 2D
- Three-dimensional Maxwellian extended Bargmann supergravity
- Three-Dimensional Extended Lifshitz, Schrödinger and Newton-Hooke Supergravity
- Non-relativistic three-dimensional supergravity theories and semigroup expansion method
- Three-dimensional non-relativistic extended supergravity with cosmological constant
- Three-dimensional exotic Newtonian gravity with cosmological constant
- N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions
- Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
- Three-dimensional exotic Newtonian supergravity theory with cosmological constant
- Three-dimensional non-relativistic supergravity and torsion
- Three-Dimensional Higher-Order Schrödinger Algebras and Lie Algebra Expansions
- (super)Schwarzian mechanics
- Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
Cited by in corpus (13)
- Review on Non-Relativistic Gravity
- Carrollian hydrodynamics from symmetries
- Carroll black holes
- Carrollian Supersymmetry and SYK-like models
- A 3+1 formulation of the 1/c expansion of General Relativity
- Extended Kinematical 3D Gravity Theories
- Quantization of Carrollian fermions
- A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?
- Supersymmetric Carroll Galileons in Three Dimensions
- Non-Lorentzian Supergravity and Kinematical Superalgebras
- Supersymmetric algebra of the massive supermembrane
- Hietarinta Chern-Simons supergravity and its asymptotic structure
- Three-dimensional non-relativistic Hietarinta supergravity