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w1+∞ as the Frame Algebra of Kerr Soft Dressing

2026/07/29 by Gabriel Menezes
Physics and Astronomy · #hep-th #gr-qc #hep-ph

paper · pdf

9 pages, 1 figure + Supplemental Material

arxiv created 2026/07/29 · arxiv updated 2026/07/31

Abstract

The Veneziano--Vilkovisky supertranslation is the residual large diffeomorphism relating the canonical Bondi frame to the intrinsic frame of the scattering bodies. We show it leads a tower selected by the exponentiating soft expansion, the object generating the Kerr multipoles at three points. Since \(eηωa⋅ q\) splits into even and odd parts, the tower alternates parity, and for aligned spin we solve it to all orders in hyperbolic integrals. After a chiral projection its composition law is the classical w1+∞ bracket: the physical content we assign to that algebra.

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