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Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory

MPG-Autoren

Skvortsov,  E. D.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1210.7963
(Preprint), 342KB

JHEP2013_158.pdf
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Zitation

Didenko, V. E., & Skvortsov, E. D. (2013). Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory. Journal of high energy physics: JHEP, 2013(4): 158. doi:0.1007/JHEP04(2013)158.


Zitierlink: https://hdl.handle.net/11858/00-001M-0000-000E-7CB8-7
Zusammenfassung
All correlation functions of conserved currents of the CFT that is dual to unbroken Vasiliev theory are found as invariants of higher-spin symmetry in the bulk of AdS. The conformal and higher-spin symmetry of the correlators as well as the conservation of currents are manifest, which also provides a direct link between the Maldacena-Zhiboedov result and higher-spin symmetries. Our method is in the spirit of AdS/CFT, though we never take any boundary limit or compute any bulk integrals. Boundary-to-bulk propagators are shown to exhibit an algebraic structure, living at the boundary of SpH(4), semidirect product of Sp(4) and the Heisenberg group. N-point correlation function is given by a product of N elements.