id author title date pages extension mime words sentence flesch summary cache txt fq977s77r68 Nathan P. Vander Werf Screening Operators for Lattice Vertex Operator Algebras and Resulting Constructions 1904 .txt text/plain 208 6 33 We then show how to construct subalgebras of $V_L$ by considering the kernel of a screening operator for $V_L$ when $L$ is of rank $2$, and how one can take the intersection of the kernels of certain commuting screening operators to obtain interesting vertex operator algebras that can be analyzed using this intersection of kernels structure. We give a rigorous treatment of the notion of screening pairs of screening operators $(\ ilde{Q},Q)$ for a rank $d$ lattice vertex operator superalgebra $V_L$. Certain such screening pairs proved to be useful machinery in the study of the internal structure of the $\mathcal{W}\mbox{-algebra}$ $\mathcal{W}(p)=\mbox{ker }\ ilde{Q}$ by Adamovi\'c and Milas and in proving the $C_2$-cofinite property in the rank 1 case. cache/fq977s77r68.txt txt/fq977s77r68.txt