Biaxially symmetric solutions to 4D higher spin gravity

By C. Iazeolla, P. Sundell. 2012

326 citations recorded by the source corpus.

We review some aspects of biaxially symmetric solutions to Vasiliev’s equations in four-dimensional spacetime with a negative cosmological constant. The solutions, which activate bosonic fields of all spins, are constructed using gauge functions, projectors and deformed oscillators. The deformation parameters, which are formally gauge invariant, are related to generalized electric and magnetic charges in asymptotic weak-field regions. Alternatively, the solutions can be characterized in a dual fashion using 0-form charges which are higher spin Casimir invariants built from combinations of curvatures and all their derivatives that are constant on shell and well-defined everywhere. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Higher spin theories and holography’.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a881a4fe7d2de5f5d428f795c881aa4d7325254c

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Citations in the corpus

Black holes in three dimensional higher spin gravity: a review (2012, background): “Examples of solutions in four dimensional Vasiliev theory include [96,97,98,99], and those potentially related to black holes include [100,101,102].”