Abstract
Sixteen higher spin currents with spins \( \left(1,\frac{3}{2},\frac{3}{2},2\right) \), \( \left(\frac{3}{2},2,2,\frac{5}{2}\right) \), \( \left(\frac{3}{2},2,2,\frac{5}{2}\right) \), and \( \left(2,\frac{5}{2},\frac{5}{2},3\right) \) were previously obtained in an extension of the large \( \mathcal{N}=4 \) ‘nonlinear’ superconformal algebra in two dimensions. By carefully analyzing the zero-mode eigenvalue equations, three-point functions of bosonic (higher spin) currents are obtained with two scalars for any finite N (where SU(N + 2) is the group of coset) and k (the level of spin-1 Kac Moody current). Furthermore, these 16 higher spin currents are implicitly obtained in an extension of large \( \mathcal{N}=4 \) ‘linear’ superconformal algebra for generic N and k. The corresponding three-point functions are also determined. Under the large N ’t Hooft limit, the two corresponding three-point functions in the nonlinear and linear versions coincide even though they are completely different for finite N and k.
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ArXiv ePrint: 1506.00357
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Ahn, C., Kim, H. Three point functions in the large \( \mathcal{N}=4 \) holography. J. High Energ. Phys. 2015, 111 (2015). https://doi.org/10.1007/JHEP10(2015)111
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DOI: https://doi.org/10.1007/JHEP10(2015)111