Lattices, Vertex Algebras and Modular Categories
Jethro van Ekeren
TL;DR
This paper discusses recent advances in constructing holomorphic vertex algebras via cyclic orbifolds, exploring related lattice and modular category topics, and introduces a new method for computing the Schur indicator using finite Heisenberg groups.
Contribution
It provides a novel computation of the Schur indicator for lattice involution orbifolds employing finite Heisenberg groups and discriminant forms.
Findings
New computation method for Schur indicator
Progress on holomorphic vertex algebra construction
Insights into lattices and modular categories
Abstract
In this note we give an account of recent progress on the construction of holomorphic vertex algebras as cyclic orbifolds as well as related topics in lattices and modular categories. We present a novel computation of the Schur indicator of a lattice involution orbifold using finite Heisenberg groups and discriminant forms.
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