1202.0074 (Changhyun Ahn)

The Primary Spin-4 Casimir Operators in the Holographic SO(N) Coset
Minimal Models    [PDF]

Changhyun Ahn

Starting from SO(N) current algebra, we construct two lowest primary higher
spin-4 Casimir operators which are quartic in spin-1 fields. For N is odd, one
of them corresponds to the current in the WB_{\frac{N-1}{2}} minimal model. For
N is even, the other corresponds to the current in the WD_{\frac{N}{2}} minimal
model. These primary higher spin currents, the generators of wedge subalgebra,
are obtained from the operator product expansion of fermionic (or bosonic)
primary spin-N/2 field with itself in each minimal model respectively. We
compute the three-point functions with two real scalars, in the large N 't
Hooft limit, for all values of the 't Hooft coupling which should be dual to
the three-point functions in the higher spin AdS_3 gravity with matter.

View original: http://arxiv.org/abs/1202.0074