On exact solutions and perturbative schemes in higher spin theory
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Fecha
2018
Autores
Profesor/a Guía
Facultad/escuela
Idioma
en
Título de la revista
ISSN de la revista
Título del volumen
Editor
MDPI Multidisciplinary Digital Publishing Institute
Nombre de Curso
Licencia CC
CC BY 4.0
Licencia CC
Resumen
We review various methods for finding exact solutions of higher spin theory in four dimensions, and survey the known exact solutions of (non)minimal Vasiliev's equations. These include instanton-like and black hole-like solutions in (A)dS and Kleinian spacetimes. A perturbative construction of solutions with the symmetries of a domain wall is also described. Furthermore, we review two proposed perturbative schemes: one based on perturbative treatment of the twistor space field equations followed by inverting Fronsdal kinetic terms using standard Green's functions; and an alternative scheme based on solving the twistor space field equations exactly followed by introducing the spacetime dependence using perturbatively defined gauge functions. Motivated by the need to provide a higher spin invariant characterization of the exact solutions, aspects of a proposal for a geometric description of Vasiliev's equation involving an infinite dimensional generalization of anti de Sitter space are revisited and improved. © 2018 by the authors.
Notas
Indexación Scopus
Palabras clave
Chern-Simons Theories, Gauge Transformation, Spin, Exact solutions, Higher-spin geometry, Higher-spin gravity
Citación
Universe Volume 4, Issue 1January 2018 Article number 5
DOI
10.3390/universe4010005