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Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory | | V.E. Didenko
; E.D. Skvortsov
; | | Date: |
30 Oct 2012 | | Abstract: | 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, nor
encounter any divergent 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. | | Source: | arXiv, 1210.7963 | | Services: | Forum | Review | PDF | Favorites | |
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