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Holographic Symmetry Algebras for Gauge Theory and Gravity
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All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting on the celestial sphere. A complete classification of these symmetries and their algebras is an open problem. Here we construct two towers of such 2D currents from positive-helicity photons, gluons, or gravitons with integer conformal weights. These generate the symmetries associated to an infinite tower of conformally soft theorems. The current algebra commutators are explicitly derived from the poles in the OPE coefficients, and found to comprise a rich closed subalgebra of the complete symmetry algebra.
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Cited by 32 Pith papers
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Graviton scattering on self-dual black holes
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Light-Front approach to $4d$ massless Higher-Spin interactions
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Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories
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Light-Front approach to $4d$ massless Higher-Spin interactions
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Kerr Soft Dressing and the $w_{1+\infty}$ Frame Algebra at Null Infinity
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Bulk double soft limits of gravitational amplitudes fail to reproduce the recursive generation of higher-order soft theorems that celestial soft algebras suggest from the first three terms alone.
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Finite-energy hard celestial current algebra from the Banerjee--Mandal--Sahoo dipole Ward identity in QED
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Finite-energy hard celestial current algebra from the Banerjee--Mandal--Sahoo dipole Ward identity in QED
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Soft Algebra for ${\cal N}=4$ SYM
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An algebra of proper observables at null infinity: Dirac brackets, Memory and Goldstone probes
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Mixed-helicity bracket of celestial symmetries
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A Carrollian theory on null infinity reproduces all MHV and NMHV Yang-Mills tree amplitudes, with a new explicit NMHV expression.
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A conformal map identifies the flat-space soft gluon S-algebra with light-ray operators built from CFT3 currents and their descendants in AdS4.
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Carrollian Perspective on Celestial Holography
A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.
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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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Soft Algebras via Bulk Double Soft Limits
Bulk double soft limits introduce subtleties absent from boundary celestial CFTs, so the full soft expansion of gravitational amplitudes cannot be generated from the first three terms via celestial algebras.
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On symmetries of gravitational on-shell boundary action at null infinity
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Topics in Celestial holography: A bottom-up perspective
Review of symmetries, celestial CFT, twistor interplay, and AdS/CFT connections in the search for a celestial dual to flat-spacetime quantum gravity.
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Topics in Celestial holography: A bottom-up perspective
A review of symmetries, celestial CFT, twistor theory interplay, and AdS/CFT connections in the bottom-up search for a celestial dual to flat-space quantum gravity.
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