83 research outputs found
On infinite symmetry algebras in Yang-Mills theory
Similar to gravity, an infinite tower of symmetries generated by higher-spin
charges has been identified in Yang-Mills theory by studying collinear limits
or celestial operator products of gluons. This work aims to recover this loop
symmetry in terms of charge aspects constructed on the gluonic Fock space. We
propose an explicit construction for these higher spin charge aspects as
operators which are polynomial in the gluonic annihilation and creation
operators. The core of the paper consists of a proof that the charges we
propose form a closed loop algebra to quadratic order. This closure involves
using the commutator of the cubic order expansion of the charges with the
linear (soft) charge. Quite remarkably, this shows that this
infinite-dimensional symmetry constrains the non-linear structure of Yang-Mills
theory. We provide a similar all spin proof in gravity for the so-called global
quadratic (hard) charges which form the loop wedge subalgebra of
.Comment: 44 page
Higher spin dynamics in gravity and w1+∞ celestial symmetries
In this paper we extract from a large-r expansion of the vacuum Einstein's equations a dynamical system governing the time evolution of an infinity of higher-spin charges. Upon integration, we evaluate the canonical action of these charges on the gravity phase space. The truncation of this action to quadratic order and the associated charge conservation laws yield an infinite tower of soft theorems. We show that the canonical action of the higher spin charges on gravitons in a conformal primary basis, as well as conformally soft gravitons reproduces the higher spin celestial symmetries derived from the operator product expansion. Finally, we give direct evidence that these charges form a canonical representation of a w1+∞ loop algebra on the gravitational phase space
A discrete basis for celestial holography
Celestial holography provides a reformulation of scattering amplitudes in
four dimensional asymptotically flat spacetimes in terms of conformal
correlators of operators on the two dimensional celestial sphere in a basis of
boost eigenstates. A basis of {massless particle} states has previously been
identified in terms of conformal primary wavefunctions labeled by a boost
weight with . Here we show that
a {\it discrete} orthogonal and complete basis exists for . This new basis consists of a tower of discrete memory and
Goldstone observables, which are conjugate to each other and allow to
reconstruct gravitational signals belonging to the Schwartz space. We show how
generalized dressed states involving the whole tower of Goldstone operators can
be constructed and evaluate the higher spin Goldstone 2-point functions.
Finally, we recast the tower of higher spin charges providing a representation
of the loop algebra (in the same helicity sector) in terms of
the new discrete basis.Comment: 33+27 pages, 1 figur
Entanglement, Soft Modes, and Celestial Holography
We evaluate the vacuum entanglement entropy across a cut of future null
infinity for free Maxwell theory in four-dimensional Minkowski spacetime. The
Weyl invariance of 4D Maxwell theory allows us to embed the Minkowski spacetime
inside the Einstein static universe. The Minkowski vacuum can then be described
as a thermofield double state on the (future) Milne wedges of the original and
an inverted Minkowski patches. We show that the soft mode contribution to
entanglement entropy is due to correlations between asymptotic charges of these
Milne wedges, or equivalently nontrivial conformally soft (or edge) mode
configurations at the entangling surface.Comment: 9 pages, 4 figure
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