Integral forms for tensor powers of the Virasoro vertex operator algebra \(L(\frac{1}{2}, 0)\) and their modules (Q2344832)

In this article, the author constructed certain integral forms of the tensor powers of the Virasoro vertex operator algebra \(L(\frac{1}2, 0)^{\otimes n}\) which contains the conformal element \(\omega\), when \(n\) is a positive integer divisible by \(4\). The construction used certain binary code \(\mathcal{C}\) of length \(n\in 4\mathbb{Z}\). Integral forms of certain modules for these algebras are also constructed. In addition, the graded \(\mathbb{Z}\)-dual and certain integral intertwining operators are also discussed. As an application, the author also suggested a strategy for finding some possible integral forms in framed vertex operator algebras.