Asymptotically flat spacetimes in three-dimensional higher spin gravity

Abstract:We study the large gauge transformations of massless higher-spin fields in fourdimensional Minkowski space. Upon imposing suitable fall-off conditions, providing higherspin counterparts of the Bondi gauge, we observe the existence of an infinite-dimensional asymptotic symmetry algebra. The corresponding Ward identities can be held responsible for Weinberg's factorisation theorem for amplitudes involving soft particles of spin greater than two.

Section: Higher-spin Superrotationsmentioning

confidence: 79%

Section: Higher-spin Superrotationsmentioning

confidence: 99%

Section: Higher-spin Superrotationsmentioning

confidence: 99%

See 1 more Smart Citation

On higher-spin supertranslations and superrotations

Campoleoni

Francia

Heissenberg

2017

“…First of all, extensions to (higher-spin) supergravity as well as the analysis of the asymptotic symmetries [48][49][50] are imminent. Further extensions to color-decoration of the known higherspin gravity in three-dimensional Lifshitz spacetime [51] and flat spacetime [52,53] are also straightforward. Extension to higher-dimensional spacetime is also highly interesting.…”

Section: Jhep04(2016)055mentioning

confidence: 97%

Rainbow valley of colored (anti) de Sitter gravity in three dimensions

Gwak

Joung

Mkrtchyan

et al. 2016

We propose a theory of three-dimensional (anti) de Sitter gravity carrying Chan-Paton color charges. We define the theory by Chern-Simons formulation with the gauge algebra (gl 2 ⊕ gl 2 ) ⊗ u(N ), obtaining a color-decorated version of interacting spinone and spin-two fields. We also describe the theory in metric formulation and show that, among N 2 massless spin-two fields, only the singlet one plays the role of metric graviton whereas the rest behave as colored spinning matter that strongly interacts at large N . Remarkably, these colored spinning matter acts as Higgs field and generates a non-trivial potential of staircase shape. At each extremum labelled by k = 0, . . . , [ N −1 2 ], the u(N ) color gauge symmetry is spontaneously broken down to u(N − k) ⊕ u(k) and provides different (A)dS backgrounds with the cosmological constants N N −2k 2 Λ. When this symmetry breaking takes place, the spin-two Goldstone modes combine with (or are eaten by) the spin-one gauge fields to become partially-massless spin-two fields. We discuss various aspects of this theory and highlight physical implications.

“…[6][7][8]). In three space-time dimensions higher-spin charges have also been derived from the Chern-Simons formulation of higher-spin models in both constant-curvature [19][20][21] and flat backgrounds [22,23].…”

Section: Jhep10(2016)146mentioning

confidence: 99%

Higher-spin charges in Hamiltonian form. I. Bose fields

Campoleoni

Henneaux

Hörtner

et al. 2016

We study asymptotic charges for symmetric massless higher-spin fields on Anti de Sitter backgrounds of arbitrary dimension within the canonical formalism. We first analyse in detail the spin-3 example: we cast Fronsdal's action in Hamiltonian form, we derive the charges and we propose boundary conditions on the canonical variables that secure their finiteness. We then extend the computation of charges and the characterisation of boundary conditions to arbitrary spin.