https://doi.org/10.1140/epjc/s10052-017-4956-9
Regular Article - Theoretical Physics
Higher spin currents in the orthogonal coset theory
Department of Physics, Kyungpook National University, Taegu, 41566, Korea
* e-mail: ahn@knu.ac.kr
Received:
8
March
2017
Accepted:
29
May
2017
Published online:
14
June
2017
In the coset model 
at levels 
, 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 
with 
. They are determined also in the large N ’t Hooft limit. When one of the levels is the dual Coxeter number of SO(2N), 
, the higher spin 
current, which contains the septic adjoint fermions contracted with the above d tensor and the triple product of structure constants, is obtained from the operator product expansion (OPE) between the spin 
current living in the 
superconformal algebra and the above higher spin 4 current. The OPEs between the higher spin 
currents are described. For 
where both levels are equal to the dual Coxeter number of SO(2N), the higher spin 3 current of U(1) charge 
, which contains the six products of spin 
(two) adjoint fermions contracted with the product of the d tensor and two structure constants, is obtained. The corresponding 
higher spin multiplet is determined by calculating the remaining higher spin 
currents with the help of two spin currents in the superconformal algebra. The other higher spin multiplet, whose U(1) charge is opposite to the one of the above higher spin multiplet, is obtained. The OPE between these two higher spin multiplets is also discussed.
© The Author(s), 2017
