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w(1+infinity) and the Celestial Sphere
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It is shown that the infinite tower of tree-level soft graviton symmetries in asymptotically flat 4D quantum gravity can be organized into a single chiral 2D Kac-Moody symmetry based on the wedge algebra of w(1+infinity). The infinite towers of soft photon or gluon symmetries also transform irreducibly under w(1+infinity).
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Cited by 10 Pith papers
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Light-Front approach to $4d$ massless Higher-Spin interactions
Solving Poincaré-algebra closure at quartic order yields infinitely many local 4d massless higher-spin theories (finite or infinite spectra), classifies chiral one-/two-derivative models, and determines all local unit...
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Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories
Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.
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Kerr Soft Dressing and the $w_{1+\infty}$ Frame Algebra at Null Infinity
The Kerr soft exponent generates a parity-alternating hierarchy of null-infinity frame generators—displacement memory at s=0, spin memory at s=1, and higher moments alternating by Kerr multipole parity—realized as the...
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Subleading Asymptotic Charges in Massless Scalar QED
In massless scalar QED with 1/u tail data, three conserved asymptotic charges exist at null infinity; one is new and is conjecturally tied to large gauge transformations that diverge linearly in retarded time.
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Twisting asymptotically-flat spacetimes
Twisting asymptotically-flat spacetimes are brought into a generalized Bondi gauge with finite radial expansion, producing new flux-balance laws, Carroll-boost symmetries, and finite supertranslated Kerr–Taub–NUT metrics.
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Associativity of celestial OPE, higher spins and self-duality
Celestial OPE associativity, the Jacobi identity of a vertex-derived gauge algebra, vanishing four-point amplitudes, and the light-cone holomorphic constraint are shown to be the same consistency condition, solved for...
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Holographic symmetry algebra for the MHV sector revisited
In the MHV sector, the celestial symmetry algebra is a semidirect product of w_{1+∞} (or S) with an infinite Abelian algebra, whose null states supply the two missing KZ equations.
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$w_{1+\infty}$ as the Frame Algebra of Kerr Soft Dressing
Kerr soft dressing exponentiates into a parity-alternating tower of frame shifts whose chiral-projected composition law is the w1+∞ bracket, solved in closed form for aligned spin.
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Multi-Particle Contributions to the Celestial Algebra in the ${\cal N}=8$ Supergravity
Multi-particle OPEs of single-particle celestial operators with two-particle operators in N=8 supergravity yield ninety-five (anti)commutators of the soft current algebra plus amplitude relations.
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Celestial Chiral Algebras and Self-Dual Gravity
This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...
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