Free Carrollian quantum field theories admit well-defined vacuum and KMS states via algebraic methods, with massless theories requiring nonregular states whose Hilbert spaces factorize into Fock and nonseparable zero-mode sectors relevant for flat space holography.
Constructing Carrollian field theories from null reduction
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Derives Carrollian Maxwell theories (magnetic and electric) plus new scalar couplings through deformed light-cone null reduction while keeping first-class Gauss constraint and gauge invariance.
Bulk-to-boundary correlators for spin-s operators in Poincaré-invariant massless theories are linear superpositions of ISO(2)-fixed tensor structures mapped to non-crossing double-line diagrams that are tensor products of loop diagrams, extrapolating to type Ib multiplets in CCFT generated by Wigner
Carrollian fermionic actions for electric and magnetic sectors are derived from a single Bargmann Dirac action by null reduction, with good and bad fermions as dynamical and constrained modes valid in any dimension.
Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.
Observables in Schrödinger CFTs have zero mass and transform in staggered pyramid representations built from alien operators, generalizing exceptional symmetry conservation laws.
An agentic AI workflow constructs Carrollian conformal bases for massive and tachyonic particles via a Poincare-Carrollian intertwiner that requires complex momentum shifts.
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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Carrollian quantum states and flat space holography
Free Carrollian quantum field theories admit well-defined vacuum and KMS states via algebraic methods, with massless theories requiring nonregular states whose Hilbert spaces factorize into Fock and nonseparable zero-mode sectors relevant for flat space holography.
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Hamiltonian formulation of Carrollian Maxwell theory in Deformed Light-cone Kaluza-Klein-like Null reduction
Derives Carrollian Maxwell theories (magnetic and electric) plus new scalar couplings through deformed light-cone null reduction while keeping first-class Gauss constraint and gauge invariance.
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Spinning bulk-to-boundary correlators in the massless theories with Poincar\'e symmetry
Bulk-to-boundary correlators for spin-s operators in Poincaré-invariant massless theories are linear superpositions of ISO(2)-fixed tensor structures mapped to non-crossing double-line diagrams that are tensor products of loop diagrams, extrapolating to type Ib multiplets in CCFT generated by Wigner
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Carroll fermions from null reduction: A case of good and bad fermions
Carrollian fermionic actions for electric and magnetic sectors are derived from a single Bargmann Dirac action by null reduction, with good and bad fermions as dynamical and constrained modes valid in any dimension.
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QFT in Klein space
Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.
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Observables in Schr\"odinger CFTs: How Aliens Built the Pyramids
Observables in Schrödinger CFTs have zero mass and transform in staggered pyramid representations built from alien operators, generalizing exceptional symmetry conservation laws.
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Carrollian holography with agentic AI: Real mass is imaginary
An agentic AI workflow constructs Carrollian conformal bases for massive and tachyonic particles via a Poincare-Carrollian intertwiner that requires complex momentum shifts.
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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.