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Higher spin currents in the orthogonal coset theory

In the coset model \((D_N^{(1)} \oplus D_N^{(1)},D_N^{(1)})\) at levels \((k_1,k_2)\), the higher spin 4 current that contains the quartic WZW currents contracted with a completely symmetric SO(2N) invariant d tensor of rank 4 is obtained. The three-point functions with two scalars are obtained for any finite N and \(k_2\) with \(k_1=1\). They are determined also in the large N ’t ...

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

By using the known operator product expansions (OPEs) between the lowest 16 higher spin currents of spins \((1, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}, 2,2,2,2,2,2, \frac{5}{2}, \frac{5}{2}, \frac{5}{2}, \frac{5}{2}, 3)\) in an extension of the large \(\mathcal{N}=4\) linear superconformal algebra, one determines the OPEs between the lowest 16 higher spin currents in an ...

Higher spin currents in the enhanced \( \mathcal{N}=3 \) Kazama-Suzuki model

Department of Physics, Kyungpook National University 2 = 3 OPE contains the Changhyun Ahn and Hyunsu Kim = 3 Kazama-Suzuki model at the `critical' level has been found We construct the lowest higher spin

The operator product expansion between the 16 lowest higher spin currents in the \(\mathcal{N}=4\) superspace

Some of the operator product expansions (OPEs) between the lowest 16 higher spin currents of spins \((1, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}, 2, 2, 2, 2, 2, 2, \frac{5}{2}, \frac{5}{2}, \frac{5}{2}, \frac{5}{2}, 3)\) in an extension of the large \(\mathcal{N}=4\) linear superconformal algebra were constructed in \(\mathcal{N}=4\) superconformal coset ...

Three point functions in the large \( \mathcal{N}=4 \) holography

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 ...

Higher spin currents in Wolf space. Part I

Changhyun Ahn 0 0 Department of Physics, Kyungpook National University , Taegu 702-701, Korea For the N = 4 superconformal coset theory described by SU(N+2) (that conSU(N) tains a Wolf space) with

Higher spin currents in Wolf space for generic N

We obtain the 16 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 \( \left(2,\frac{5}{2},\frac{5}{2},3\right) \) in the \( \mathcal{N}=4 \) superconformal Wolf space coset \( \frac{\mathrm{SU}\left(N+2\right)}{\mathrm{SU}(N)\times ...

Spin-5 Casimir operator its three-point functions with two scalars

Changhyun Ahn 0 Hyunsu Kim 0 0 Dept. of Physics, Kyungpook National University , Tae-Hak-Ro 80, Buk-Gu, Taegu, 702-701, South Korea By calculating the second-order pole in the operator product

Higher spin currents in the holographic \( \mathcal{N} \) = 1 coset minimal model

Changhyun Ahn 0 Jinsub Paeng 0 0 Dept. of Physics, Kyungpook National University , Tae-Hak-Ro 80, Buk-Gu, Taegu 702-701, South Korea In the N = 1 supersymmetric coset minimal model based on (BN(1