Higher spin currents in the holographic N = 1 coset minimal model

In the N = 1 supersymmetric coset minimal model based on (B _N⁽¹⁾⊕ D_N⁽¹⁾,D_N ⁽¹⁾) at level (k, 1) studied recently, the standard N = 1 super stress tensor of spins (3/2,2) is reviewed. By considering the stress tensor in the coset (B_N⁽¹⁾ D_N⁽¹⁾) at level k, the higher spin-2^′ Casimir current was obtained previously. By acting the above spin- 2/3 current on the higher spin-2^′ Casimir current, its superpartner, the higher spin-2/5 current, can be generated and combined as the first higher spin supercurrent with spins (2′, 5/2). By calculating the operator product expansions (OPE) between the higher spin supercurrent and itself, the next higher spin supercurrent can be generated with spins (7/2, 4). Moreover, the other higher spin supercurrent with spins (4′, 9/2) can be generated by calculating the OPE between the first higher spin supercurrent with spins (2′, 5/2) and the second higher spin supercurrent with spins (7/2, 4). Finally, the higher spin supercurrent, (11/2,6), can be extracted from the right hand side of OPE between the higher spin supercurrents, (2′ 5/2) and (4', 9/2).