Abstract
The C P N Kazama-Suzuki models with the non-linear chiral algebra (W)∞ [λ] have been conjectured to be dual to the fully supersymmetric Prokushkin-Vasiliev theory of higher-spin gauge fields coupled to two massive (N)=2 multiplets on AdS 3 . We perform a non-trivial check of this duality by computing three-point functions containing one higher-spin gauge field for arbitrary spin s and deformation parameter λ from the bulk theory, and from the boundary using a free ghost system based on the linear sw∞[λ] algebra. We find an exact match between the two computations. In the 't Hooft limit, the three-point functions only depend on the wedge subalgebra shs[λ] and the results are equivalent for any theory with such a subalgebra. In the process we also find the emergence of (N)=2 superconformal symmetry near the AdS 3 boundary by computing holographic OPE's, consistently with a recent analysis of asymptotic symmetries of higher-spin supergravity.
| Original language | English |
|---|---|
| Article number | 018 |
| Journal | Journal of High Energy Physics (Online) |
| Volume | 2013 |
| Issue number | 4 |
| ISSN | 1126-6708 |
| DOIs | |
| Publication status | Published - 1 Apr 2013 |