Chern-Simons vector models and higher spins - Ginzburg ...

Comments on the holographic dualThe only parity breaking higher spin gravity theory currently known isVasiliev’s theory specified by the general “interaction phase”Θ(X ) = θ 0 + θ 2 X ∗ X + . . .A natural conjecture is then that our Chern-Simons vector model isdual to the parity breaking Vasiliev’s theory with some specific choiceθ 0 (λ) , θ 2 (λ) , . . .with the condition that θ 0 (λ → 0) = π 2 , θ 2,4,...(λ → 0) = 0.We do not know a priori how to determine the phase as a function ofλ. But we can in principle compute perturbatively correlators on bothsides and compare.Simone Giombi (PI) Chern-Simons and higher spins Lebedev Inst., Jun 1 2012 22 / 24