Abstract
We obtain 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 the N=4 superconformal Wolf space coset SU(N+2)/[SU(N) x SU(2) x U(1)]. The antisymmetric second rank tensor occurs in the quadratic spin-1/2 Kac-Moody currents of the higher spin-1 current. Each higher spin-3/2 current contains the above antisymmetric second rank tensor and three symmetric (and traceless) second rank tensors (i.e. three antisymmetric almost complex structures contracted by the above antisymmetric tensor) in the product of spin-1/2 and spin-1 Kac-Moody currents respectively. Moreover, the remaining higher spin currents of spins 2, 5/2, 3 contain the combinations of the (symmetric) metric, the three almost complex structures, the antisymmetric tensor or the three symmetric tensors in the multiple product of the above Kac-Moody currents as well as the composite currents from the large N=4 nonlinear superconformal algebra.
Highlights
3 2 current contains the above antisymmetric second rank tensor and three symmetric second rank tensors in the product of spin
The three-point function shares the same formula in the duality [1,2,3] between the higher spin theory on the AdS3 space and the WN minimal model coset conformal field theory in two-dimensions
In [4], the large N = 4 higher spin theory on AdS3 based on the higher spin algebra is dual to the ’t Hooft limit of the two dimensional large N = 4 superconformal coset theory on Wolf space [5,6,7]
Summary
Let us recall that the lowest 16 higher spin currents have the following N = 2 multiplets with spin contents. As described in the introduction, it is very crucial to obtain the lowest higher spin-1 current in (3.1). B+ B− + B− B+ + B3 B3 (z), which corresponds to the equation (4.31) of [49]. In this calculation the properties of complex structures are used and A±(z) ≡ A1 ± iA2(z) and B±(z) ≡ B1 ± iB2(z). Once this is found, it is straightforward to obtain the remaining 15 higher spin currents with
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
