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Electromagnetic helicity flux operators in higher dimensions
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abstract
The helicity flux operator is a fascinating quantity that characterizes the angular distribution of the helicity of radiative photons or gravitons and it has many interesting physical consequences. In this paper, we construct the electromagnetic helicity flux operators which form a non-Abelian group in general dimensions, among which the minimal helicity flux operators form the massless representation of the little group, a finite spin unitary irreducible representation of the Poincar\'e group. As in four dimensions, they generate an extended angle-dependent transformation on the Carrollian manifold. Interestingly, there is no known corresponding bulk duality transformation in general dimensions. However, we can construct a topological Chern-Simons term that evaluates the minimal helicity flux operators at $\mathcal{I}^+$.
Forward citations
Cited by 3 Pith papers
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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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