Higher Spin Currents in Wolf Space: Part II

Abstract

The 16 lowest higher spin currents of spins (1, 3/2, 3/2, 2), (3/2, 2, 2, 5/2 ), (3/2, 2, 2, 5/2) and (2, 5/2, 5/2, 3) in terms of N=2 WZW affine currents were obtained in the N=4 superconformal Wolf space coset SU(5)/[SU(3) x SU(2) x U(1)] previously. By calculating the operator product expansions (OPEs) between the above higher spin currents which are contained in an extension of large N=4 nonlinear superconformal algebra, the next 16 higher spin currents of spins (2, 5/2, 5/2, 3), (5/2, 3, 3, 7/2 ), (5/2, 3, 3, 7/2) and (3, 7/2, 7/2, 4) are determined from the right hand sides of these OPEs. Moreover, the composite fields consisting of both the 11 currents in the large N=4 nonlinear superconformal algebra and the above 16 lowest higher spin currents also occur in the right hand sides of these OPEs. The latter appears quadratically (and linearly) in the fusion rules together with large N=4 nonlinear superconformal family of the identity operator.

176 pages

References in corpus (4)

• Large N=4 Holography
• Higher spin AdS_3 holography with extended supersymmetry
• The symmetry of large N=4 holography
• Higher Spin Currents in Wolf Space: Part I

Cited by in corpus (14)

• Extended supersymmetry in AdS_3 higher spin theories
• Higher Spin Currents in Wolf Space: Part I
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• The Operator Product Expansion between the 16 Lowest Higher Spin Currents in the N=4 Superspace
• Higher Spin Currents in Orthogonal Wolf Space
• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• The $\mathcal{N}=4$ Coset Model and the Higher Spin Algebra
• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• Three Point Functions in the N=4 Orthogonal Coset Theory
• Higher Spin Currents in the Orthogonal Coset Theory
• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• Adding Complex Fermions to the Grassmannian-like Coset Model
• On the $\mathcal{N}=3$ and $\mathcal{N}=4$ superconformal holographic dictionary