Carrollian Supersymmetry and SYK-like models
arXiv:2311.00039 · doi:10.1103/PhysRevD.110.L021702
Abstract
This work challenges the conventional notion that in spacetime dimension higher than one, a supersymmetric Lagrangian invariably consists of purely bosonic terms, purely fermionic terms, as well as boson-fermion mixing terms. By recasting a relativistic Lagrangian in terms of its non-relativistic and ultra-relativistic sectors, we reveal that an ultra-relativistic (Carrollian) supersymmetric Lagrangian can exist without a purely bosonic contribution. Based on this result, we demonstrate a link between higher-dimensional Carrollian and (0+1)-dimensional quantum mechanical models, yielding higher-order extensions of supersymmetric SYK models in which purely bosonic higher order terms are absent. Given that supersymmetry plays an essential role in improving the quantum behavior and solubility, our findings may lead to interesting applications in non-AdS holography.
v3. Typos fixed, clarifications and references added. Version accepted in PRD Letters
References in corpus (40)
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Conformal Carroll groups and BMS symmetry
- Carrollian Perspective on Celestial Holography
- Flat Holography: Aspects of the dual field theory
- Carrollian Physics at the Black Hole Horizon
- More on Supersymmetric and 2d Analogs of the SYK Model
- Flat holography and Carrollian fluids
- Carroll Structures, Null Geometry and Conformal Isometries
- Carroll versus Galilei Gravity
- Bridging Carrollian and Celestial Holography
- Spacetime structure near generic horizons and soft hair
- Fractons, dipole symmetries and curved spacetime
- Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids
- Perfect Fluids
- Carroll Expansion of General Relativity
- Holographic Reconstruction of 3D Flat Space-Time
- AdS Witten Diagrams to Carrollian Correlators
- Disordered Quivers and Cold Horizons
- Magic Fermions: Carroll and Flat Bands
- Carrollian Approach to D Flat Holography
- Correlators in the Supersymmetric SYK Model
- Limits of JT gravity
- Tensionless Superstrings: View from the Worldsheet
- Carrollian hydrodynamics from symmetries
- Carrollian Origins of Bjorken Flow
- Carroll black holes
- AdS Carroll Chern-Simons supergravity in 2+1 dimensions and its flat limit
- Diffusion in higher dimensional SYK model with complex fermions
- Inhomogeneous Tensionless Superstrings
- Non-linear black hole dynamics and Carrollian fluids
- Supersymmetric SYK models
- Carrollian fluids and spontaneous breaking of boost symmetry
- The Symmetries of the Carroll Superparticle
- One-Loop Quantum Effects in Carroll Scalars
- Carrollian and Non-relativistic Jackiw-Teitelboim Supergravity
- Carrollian Origin of Spacetime Subsystem Symmetry
- A Chern-Simons theory for dipole symmetry
- Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics
- N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions
- Super-Carrollian and Super-Galilean Field Theories