TY - JOUR

T1 - 4D higher spin black holes with nonlinear scalar fluctuations

AU - Iazeolla, Carlo

AU - Sundell, Per

N1 - Funding Information:
Article funded by SCOAP3.
Funding Information:
We are grateful to R. Aros, R. Bonezzi, N. Boulanger, D. De Filippi, V.E. Didenko, J. Raeymaekers, E. Sezgin, E.D. Skvortsov, C. Sleight, M. Taronna, M.A. Vasiliev and Y. Yin for stimulating discussions. The research of C. I. was supported by the funding from Grant Agency of Czech Republic, project number P201-12-G028, and by the Russian Science Foundation grant 14-42-00047 in association with the Lebedev Physical Institute in Moscow, that C. I. wishes to thank for kind hospitality at various stages of this work. The work of P. S. is supported by Fondecyt iRegular grant No 1140296, Conicyt grant DPI 20140115 and UNAB internal grant DI-1382-16/R.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - We construct an infinite-dimensional space of solutions to Vasiliev’s equations in four dimensions that are asymptotic to AdS spacetime and superpose massless scalar particle modes over static higher spin black holes. Each solution is obtained by a large gauge transformation of an all-order perturbatively defined particular solution given in a simple gauge, in which the spacetime connection vanishes, the twistor space connection is holomorphic, and all local degrees of freedom are encoded into the residual twistor space dependence of the spacetime zero-forms. The latter are expanded over two dual spaces of Fock space operators, corresponding to scalar particle and static black hole modes, equipped with positive definite sesquilinear and bilinear forms, respectively. Switching on an AdS vacuum gauge function, the twistor space connection becomes analytic at generic spacetime points, which makes it possible to reach Vasiliev’s gauge, in which Fronsdal fields arise asymptotically, by another large transformation given here at first order. The particle and black hole modes are related by a twistor space Fourier transform, resulting in a black hole backreaction already at the second order of classical perturbation theory. We speculate on the existence of a fine-tuned branch of moduli space that is free from black hole modes and directly related to the quasi-local deformed Fronsdal theory. Finally, we comment on a possible interpretation of the higher spin black hole solutions as black-hole microstates.

AB - We construct an infinite-dimensional space of solutions to Vasiliev’s equations in four dimensions that are asymptotic to AdS spacetime and superpose massless scalar particle modes over static higher spin black holes. Each solution is obtained by a large gauge transformation of an all-order perturbatively defined particular solution given in a simple gauge, in which the spacetime connection vanishes, the twistor space connection is holomorphic, and all local degrees of freedom are encoded into the residual twistor space dependence of the spacetime zero-forms. The latter are expanded over two dual spaces of Fock space operators, corresponding to scalar particle and static black hole modes, equipped with positive definite sesquilinear and bilinear forms, respectively. Switching on an AdS vacuum gauge function, the twistor space connection becomes analytic at generic spacetime points, which makes it possible to reach Vasiliev’s gauge, in which Fronsdal fields arise asymptotically, by another large transformation given here at first order. The particle and black hole modes are related by a twistor space Fourier transform, resulting in a black hole backreaction already at the second order of classical perturbation theory. We speculate on the existence of a fine-tuned branch of moduli space that is free from black hole modes and directly related to the quasi-local deformed Fronsdal theory. Finally, we comment on a possible interpretation of the higher spin black hole solutions as black-hole microstates.

KW - Black Holes

KW - Higher Spin Gravity

KW - Higher Spin Symmetry

UR - http://www.scopus.com/inward/record.url?scp=85032274472&partnerID=8YFLogxK

U2 - 10.1007/JHEP10(2017)130

DO - 10.1007/JHEP10(2017)130

M3 - Article

AN - SCOPUS:85032274472

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 10

M1 - 130

ER -