https://doi.org/10.1140/epjc/s10052-017-5064-6
Regular Article - Theoretical Physics
The next 16 higher spin currents and three-point functions in the large 
holography
Department of Physics, Kyungpook National University, Taegu, 41566, Korea
* e-mail: ahn@knu.ac.kr
Received:
15
May
2017
Accepted:
12
July
2017
Published online:
5
August
2017
By using the known operator product expansions (OPEs) between the lowest 16 higher spin currents of spins 
in an extension of the large linear superconformal algebra, one determines the OPEs between the lowest 16 higher spin currents in an extension of the large nonlinear superconformal algebra for generic N and k. The Wolf space coset contains the group 
and the affine Kac–Moody spin 1 current has the level k. The next 16 higher spin currents of spins 
arise in the above OPEs. The most general lowest higher spin 2 current in this multiplet can be determined in terms of affine Kac–Moody spin 
currents. By careful analysis of the zero mode (higher spin) eigenvalue equations, the three-point functions of bosonic higher spin 2, 3, 4 currents with two scalars are obtained for finite N and k. Furthermore, we also analyze the three-point functions of bosonic higher spin 2, 3, 4 currents in the extension of the large linear superconformal algebra. It turns out that the three-point functions of higher spin 2, 3 currents in the two cases are equal to each other at finite N and k. Under the large (N, k) ’t Hooft limit, the two descriptions for the three-point functions of higher spin 4 current coincide with each other. The higher spin extension of SO(4) Knizhnik Bershadsky algebra is described.
© The Author(s), 2017
