$w_{1+\infty}$ as the Frame Algebra of Kerr Soft Dressing

Gabriel Menezes

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arXiv · 2607.27469

$w_{1+\infty}$ as the Frame Algebra of Kerr Soft Dressing

Gabriel Menezes

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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 $e^{\eta\omega a\cdot q}$ 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 $w_{1+\infty}$ bracket: the physical content we assign to that algebra.

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Gabriel Menezes. 2026-07-29. $w_{1+\infty}$ as the Frame Algebra of Kerr Soft Dressing. https://arxiv.org/abs/2607.27469

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