Higher Spin Currents in Orthogonal Wolf Space

Abstract

For the N=4 superconformal coset theory by [SO(N+4)/SO(N) x SU(2)] x U(1) (that contains an orthogonal Wolf space) with N=4, the N=2 WZW affine current algebra is obtained. The 16 generators (or 11 generators) of the large N=4 linear (or nonlinear) superconformal algebra are described by these WZW affine currents explicitly. Along the line of large N=4 holography, the extra 16 currents with 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 obtained in terms of the WZW affine currents. The lowest spin of this N=4 multiplet is two rather than one which is for an unitary Wolf space. The operator product expansions (OPEs) between the above 11 currents and these extra 16 higher spin currents are found explicitly.

76 pages. arXiv admin note: text overlap with arXiv:1311.6205

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Cited by in corpus (12)

• 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
• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography
• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• 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
• Conformal embeddings and higher-spin bulk duals
• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• Adding Complex Fermions to the Grassmannian-like Coset Model
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography
• Conformal numbers