# Three Point Functions in the Large N=4 Holography

@article{Ahn2015ThreePF, title={Three Point Functions in the Large N=4 Holography}, author={Changhyun Ahn and Hyunsu Kim}, journal={arXiv: High Energy Physics - Theory}, year={2015} }

The 16 higher spin currents with 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 an extension of large N=4 `nonlinear' superconformal algebra in two dimensions were obtained previously. By analyzing the zero mode eigenvalue equations carefully, the three point functions of bosonic (higher spin) currents 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) are obtained. Furthermore, the 16 higher…

## 12 Citations

### Three-point functions in the = 4 orthogonal coset theory

- Physics
- 2016

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)×SO(4) Wolf space coset theory for general N. The remaining 15…

### Higher Spin Currents in the N=2 Stringy Coset Minimal Model

- Physics
- 2016

This study reconsidered the N=1 supersymmetric extension of the W_3 algebra which was studied previously. This extension consists of seven higher spin supercurrents (fourteen higher spin currents in…

### The operator product expansions in theN = 4 orthogonal Wolf space coset model

- Physics
- 2019

Some of the operator product expansions (OPEs) between the lowest SO(4) singlet higher spin-2 multiplet of spins (2, 5 2 , 5 2 , 5 2 , 5 2 , 3, 3, 3, 3, 3, 3, 7 2 , 7 2 , 7 2 , 7 2 , 4) in an…

### Wolf space coset spectrum in the large N=4 holography

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2018

After reviewing the four eigenvalues (the conformal dimension, two quantum number, and charge) in the minimal (and higher) representations in the Wolf space coset where the superconformal algebra is…

### Higher spin currents in the orthogonal coset theory

- Physics
- 2017

In the coset model $$(D_N^{(1)} \oplus D_N^{(1)},D_N^{(1)})$$(DN(1)⊕DN(1),DN(1)) at levels $$(k_1,k_2)$$(k1,k2), the higher spin 4 current that contains the quartic WZW currents contracted with a…

### Title Three Point Functions in Higher Spin AdS 3 Holography with 1 / N Corrections

- Mathematics
- 2019

We examine three point functions with two scalar operators and a higher spin current in 2d WN minimal model to the next non-trivial order in 1/N expansion. The minimal model was proposed to be dual…

### Three Point Functions in Higher Spin AdS3 Holography with 1/N Corrections

- Mathematics
- 2017

We examine three point functions with two scalar operators and a higher spin current in 2d W N minimal model to the next non-trivial order in 1 / N expansion. The minimal model was proposed to be…

### The next 16 higher spin currents and three-point functions in the large $$\mathcal{N}=4$$N=4 holography

- Physics, Mathematics
- 2017

By using the known operator product expansions (OPEs) between the lowest 16 higher spin currents of spins $$(1, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}, 2,2,2,2,2,2, \frac{5}{2},…

### A pr 2 02 0 The Small N = 4 Superconformal W ∞ Algebra

- Mathematics, Physics
- 2020

The symmetric orbifold of T is the CFT dual of string theory on AdS3 × S × T with minimal NS-NS flux. We study its symmetry algebra and demonstrate that it does not have any deformation parameter.…

### The ${\cal N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter

- Mathematics
- 2020

The ${\cal N}=4$ higher spin generators for general superspin $s$ in terms of oscillators in the matrix generalization of $AdS_3$ Vasiliev higher spin theory at nonzero $\mu$ (which is equivalent to…

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This study reconsidered the N=1 supersymmetric extension of the W_3 algebra which was studied previously. This extension consists of seven higher spin supercurrents (fourteen higher spin currents in…

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In the coset model $$(D_N^{(1)} \oplus D_N^{(1)},D_N^{(1)})$$(DN(1)⊕DN(1),DN(1)) at levels $$(k_1,k_2)$$(k1,k2), the higher spin 4 current that contains the quartic WZW currents contracted with a…

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