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Symmetry group at future null infinity I: Scalar theory
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We reduce the massless scalar field theory in Minkowski spacetime to future null infinity. We compute the Poincar\'e flux operators, which can be generalized and identified as the supertranslation and superrotation generators. These generators are shown to form a closed symmetry algebra with a divergent central charge. In the classical limit, we argue that the algebra may be interpreted as the geometric symmetry of a Carrollian manifold, i.e., the hypersurface of future null infinity. Our method may be used to find more physically interesting Carrollian field theories.
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Cited by 6 Pith papers
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Missing Descendants in the Carrollian Conformal Family
Including the missing K0 descendant chain completes Carrollian conformal representations and produces C2>0 sectors and two-point correlators fixed only up to functions of Carrollian invariants.
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A finite Carrollian critical point
A double-scaled N to 0 limit of Carrollian vector models and Yang-Mills produces interacting Carrollian correlators with finite effective central charge and hyperscaling violation.
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Quantum flux operators in the fermionic theory and their supersymmetric extension
The paper derives fermionic quantum flux operators at null infinity, finds an anomalous helicity flux from superrotation commutators, and shows the resulting algebra reduces to super-BMS and R-extended super-Poincaré ...
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Covariant variation and its applications
A metric-compatible covariant variation of tensors has a non-closure anomaly that reproduces electromagnetic helicity flux under superrotations and generalizes to higher-spin and p-form radiative data.
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Constraining bulk-to-boundary correlators under Poincar\'e symmetry
Poincaré symmetry plus null-infinity fall-off conditions force scalar bulk-to-boundary correlators to 1/(u+n·x)^Δ and fermionic ones to a sum of 1/(u+n·x)^Δ and /n/(u+n·x)^(Δ+1) branches.
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Lectures on Carrollian Holography
Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.
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