Higher Spin Currents in the N=1 Stringy Coset Minimal Model

Understand

This study reconsidered the N=1 supersymmetric extension of the W_3 algebra which was studied previously.

• This extension consists of seven higher spin supercurrents (fourteen higher spin currents in the components) as well as the N=1 stress energy tensor of spins (3/2, 2).
• Thus far, the complete expressions for the higher spin currents have not been derived.
• This paper constructs them explicitly in both the c=4 eight free fermion model and the supersymmetric coset model based on (A_2^{(1)} \oplus A_2^{(1)}, A_2^{(1)})$ at level (3,k).