Orbifolds of symplectic fermion algebras
Orbifolds of symplectic fermion algebras
We present a systematic study of the orbifolds of the rank $n$ symplectic fermion algebra $\mathcal {A}(n)$, which has full automorphism group $Sp(2n)$. First, we show that $\mathcal {A}(n)^{Sp(2n)}$ and $\mathcal {A}(n)^{GL(n)}$ are $\mathcal {W}$-algebras of type $\mathcal {W}(2,4,\dots , 2n)$ and $\mathcal {W}(2,3,\dots , 2n+1)$, respectively. Using these results, …