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

Chern-Simons vector modelS = k ∫4π S CS(A) + d 3 x ¯ψ i γ µ D µ ψ i i = 1, . . . , NWe will be interested in the large N ’t Hooft limitN → ∞, k → ∞ with λ = N k fixedIn this limit, we effectively have a continuous line of non-susy CFT’sparameterized by λ. At λ = 0 we reduce to the free fermionic vectormodel.All I said so far applies for fermion being in any representation, e.g.the adjoint. However, working with a vector fermion entails severalsimplifications so that exact results become possible.The analogous Chern-Simons bosonic vector model has been studiedin parallel to our work in Aharony et. al., 2011. Also, interesting workin progress on susy extensions of these Chern-Simons vector models(see X. Yin talk).Simone Giombi (PI) Chern-Simons and higher spins Lebedev Inst., Jun 1 2012 10 / 24