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Three-point functions in the $𝒩 = 4$ orthogonal coset theory

Changhyun Ahn

Department of Physics, Kyungpook National University, Taegu 41566, Korea

E-mail Address: ahn@knu.ac.kr

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Hyunsu Kim

Department of Physics, Kyungpook National University, Taegu 41566, Korea

E-mail Address: kimhyun@knu.ac.kr

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, and

Jinsub Paeng

Department of Physics, Kyungpook National University, Taegu 41566, Korea

E-mail Address: jdp2r@knu.ac.kr

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https://doi.org/10.1142/S0217751X16500901Cited by:9 (Source: Crossref)

Abstract

We construct the lowest higher spin-2 current in terms of the spin-1 and the spin- $\frac{1}{2}$ currents living in the orthogonal $\frac{S O (N + 4)}{S O (N) \times S O (4)}$ Wolf space coset theory for general $N$ . The remaining 15 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 $S U (2) \times U (1)$ into the above Wolf space coset theory, the other 15 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.

Keywords:

PACS: 11.25.Tq, 11.25.Hf

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