Seminar for Algebra, SCE QuantiXLie

On Thursday, July 7, 2022, 17:00 hours, Ching Hung Lam (Academia Sinica, Taipei) will hold lecture as part of Seminar for Algebra titled:

“Automorphism groups of cyclic orbifolds of lattice VOA”.

Abstract:

Let $V$ be a vertex operator algebra (VOA) and $g\in Aut(V)$ a finite automorphism of $V$.  The fixed point subset $V^{\langle g\rangle}= \{x\in V| gx=x\} $ is a vertex subalgebra of $V$ and  is often called a cyclic orbifold of $V$. In this talk, we will discuss some general methods for computing the full automorphism groups of cyclic orbifolds of lattice VOA. It is clear that $N_{Aut (V)}( <g>) $  acts on the fixed point space $V^{<g>}$. Therefore, the main question is to determine if there are automorphisms
which are not induced from  $N_{Aut (V)}( <g>) $. We will discuss a method to construct such kinds of "extra" automorphisms and discuss some conjectures about this problem. As examples, we will determine the full automorphism groups of some orbifold VOAs associated with certain coinvariant lattices of the Leech lattice.

Seminar will be held in Lecture room A101, Department of Mathematics.

All Seminar members and other interested audience are invited.