Abstract:
We show that the BTZ black hole is an exact solution of a higher-spin gauge
theory in three-dimensional space–time. We find solutions for free massless
fields in the black-hole metric using the star algebra formalism underlying
the higher-spin theory. We find that some of the higher-spin symmetries
remain unbroken for special values of the BTZ parameters.
Keywords:
BTZ black hole, higher spins, star algebra.
Citation:
M. A. Vasiliev, V. E. Didenko, A. S. Matveev, “BTZ black hole as a solution of a higher-spin gauge theory in
three-dimensional space–time”, TMF, 153:2 (2007), 158–185; Theoret. and Math. Phys., 153:2 (2007), 1487–1510