BTZ Black Hole as Solution of 3d Higher Spin Gauge Theory
V. E. Didenko, A. S. Matveev, M. A. Vasiliev
TL;DR
This paper demonstrates that the BTZ black hole can be exactly realized as a solution within 3D higher spin gauge theory, revealing residual symmetries and constructing free field solutions using star-product algebra.
Contribution
It introduces the BTZ black hole as an exact solution in 3D higher spin gauge theory and analyzes symmetry preservation and free field solutions in this framework.
Findings
BTZ black hole is an exact solution in 3D higher spin gauge theory
Some higher spin symmetries remain unbroken at specific parameters
Solutions for free massless fields are constructed using star-product algebra
Abstract
BTZ black hole is interpreted as exact solution of 3d higher spin gauge theory. Solutions for free massless fields in BTZ black hole background are constructed with the help of the star-product algebra formalism underlying the formulation of 3d higher spin theory. It is shown that a part of higher spin symmetries remains unbroken for special values of the BTZ parameters.
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