Three-point functions in N=2 higher-spin holography

TY - JOUR

T1 - Three-point functions in N=2 higher-spin holography

AU - Moradi, Heidar

AU - Zoubos, Konstantinos

PY - 2013/4/1

Y1 - 2013/4/1

N2 - 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.

AB - 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.

U2 - 10.1007/jhep04(2013)018

DO - 10.1007/jhep04(2013)018

M3 - Journal article

SN - 1126-6708

VL - 2013

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 4

M1 - 018

ER -