Higher-spin initial data in twistor space with complex stargenvalues
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Fecha
2020-06
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Profesor/a Guía
Facultad/escuela
Idioma
en
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Editor
Springer
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Licencia CC
Atribución 4.0 Internacional (CC BY 4.0)
Licencia CC
https://creativecommons.org/licenses/by/4.0/deed.es
Resumen
This paper is a supplement to and extension of arXiv:1903.01399. In the internal twistor space of the 4D Vasiliev’s higher-spin gravity, we study the star-product eigenfunctions of number operators with generic complex eigenvalues. In particular, we focus on a set of eigenfunctions represented by formulas with generalized Laguerre functions. This set of eigenfunctions can be written as linear combinations of two subsets of eigenfunctions, one of which is closed under the star-multiplication with the creation operator to a generic complex power — and the other similarly with the annihilation operator. The two subsets intersect when the left and the right eigenvalues differ by an integer. We further investigate how star-multiplications with both the creation and annihilation operators together may change such eigenfunctions and briefly discuss some problems that we are facing in order to use these eigenfunctions as the initial data to construct solutions to Vasiliev’s equations. © 2020, The Author(s).
Notas
Indexación: Scopus
Palabras clave
Higher Spin Symmetry., Higher Spin Gravity.
Citación
Journal of High Energy Physics volume 2020, Article number: 66 (2020)
DOI
10.1007/JHEP06(2020)066