Magnetic Carroll supersymmetry descends from a twisted relativistic parent rather than naive contraction, realized in 3D N=2 with vector multiplet action whose conformal extension matches global super-BMS4.
Carroll fermions in two dimensions
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Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.
Carroll hydrodynamics with spin is obtained as the c→0 limit of relativistic hydrodynamics with spin, extending the description of boost-invariant flows.
Derives heavy-light conformal blocks in 2d C/G CFTs and computes excited-state entanglement entropy via replica trick, finding thermal form that reproduces holographic EE and establishes dictionary between boundary weights and bulk mass/angular momentum.
Defines post-Carroll algebra allowing central charges in higher dimensions, constructs its conformal extension and the Carroll-Schrödinger algebra matching prior theory, and derives two-point functions in post-Carrollian CFTs with electric/magnetic sectors in 1+1 dimensions.
Krylov complexity growth distinguishes phase-dependent resilience of Carrollian sectors in all-bands-flat fermionic ladders against delocalizing perturbations and exhibits UV sensitivity in a continuum Carroll scalar field with gradient deformation.
Bulk local states are built in flat holography via induced representations, with a dual basis resolving 3D bra-ket scaling issues and a tilde basis enabling explicit constructions in higher dimensions that recover the massive propagator.
A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.
citing papers explorer
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A Twisted Origin for Magnetic Carroll Supersymmetry
Magnetic Carroll supersymmetry descends from a twisted relativistic parent rather than naive contraction, realized in 3D N=2 with vector multiplet action whose conformal extension matches global super-BMS4.
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Carroll fermions, expansions and the lightcone
Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.
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Carroll hydrodynamics with spin
Carroll hydrodynamics with spin is obtained as the c→0 limit of relativistic hydrodynamics with spin, extending the description of boost-invariant flows.
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Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy
Derives heavy-light conformal blocks in 2d C/G CFTs and computes excited-state entanglement entropy via replica trick, finding thermal form that reproduces holographic EE and establishes dictionary between boundary weights and bulk mass/angular momentum.
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Post-Carroll Algebra, Conformal Extensions, and Field Theories
Defines post-Carroll algebra allowing central charges in higher dimensions, constructs its conformal extension and the Carroll-Schrödinger algebra matching prior theory, and derives two-point functions in post-Carrollian CFTs with electric/magnetic sectors in 1+1 dimensions.
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Krylov Complexity: Flat bands and Carroll breaking deformations
Krylov complexity growth distinguishes phase-dependent resilience of Carrollian sectors in all-bands-flat fermionic ladders against delocalizing perturbations and exhibits UV sensitivity in a continuum Carroll scalar field with gradient deformation.
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More on Bulk Local State Reconstruction in Flat/Carr CFT
Bulk local states are built in flat holography via induced representations, with a dual basis resolving 3D bra-ket scaling issues and a tilde basis enabling explicit constructions in higher dimensions that recover the massive propagator.
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The Carrollian Kaleidoscope
A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.
- On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT