Three Point Functions in the N=4 Orthogonal Coset Theory

Abstract

We construct the lowest higher spin-2 current in terms of the spin-1 and the spin-1/2 currents living in the orthogonal SO(N+4)/[SO(N) x SO(4)] Wolf space coset theory for general N. The remaining fifteen higher spin currents are determined. We obtain the three-point functions of bosonic (higher) spin currents with two scalars for finite N and k (the level of the spin-1 current). By multiplying SU(2) x U(1) into the above Wolf space coset theory, the other fifteen higher spin currents together with the above lowest higher spin-2 current are realized in the extension of the large N=4 linear superconformal algebra. Similarly, the three-point functions of bosonic (higher) spin currents with two scalars for finite N and k are obtained. Under the large N 't Hooft limit, the two types of three-point functions in the nonlinear and linear versions coincide as in the unitary coset theory found previously.

70 pages. arXiv admin note: text overlap with arXiv:1506.00357

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• The Operator Product Expansion between the 16 Lowest Higher Spin Currents in the N=4 Superspace
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Cited by in corpus (9)

• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Higher Spin Currents in the Orthogonal Coset Theory
• Adding Complex Fermions to the Grassmannian-like Coset Model
• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography
• Wolf Space Coset Spectrum in the Large $\mathcal{N}=4$ Holography