About the Workshop
On Friday, May 29, a mini-workshop on vertex algebras will be held as part of the Algebra Seminar.
The workshop will take place at PMF-MO, lecture room A102, starting at 14:00 h.
Members of the seminar and all interested participants are warmly invited to attend.
Organizers
Funding
Supported by the Croatian Science Foundation project
Affine vertex algebras and W-algebras
Grant IP-2022-10-9006
and by the project Implementation of cutting-edge research and its application as a part of the
Scientific Center of Excellence for Quantum and Complex Systems, and Representations of Lie Algebras
Grant No. PK.1.1.10.0004
co-financed by the European Union through the European Regional Development Fund – Competitiveness and Cohesion Programme 2021–2027.
Program
14:00 – 14:50
Qing Wang
Xiamen University, China
Classification of irreducible ordinary modules for affine vertex superalgebras
Abstract.
In this talk, we present our recent results on the classification of irreducible ordinary modules for affine vertex superalgebras at boundary admissible level. This is joint work with Huaimin Li.
15:00 – 15:50
Ching Hung Lam
Academia Sinica, Taiwan
Extra automorphisms of cyclic orbifolds of lattice VOAs
Abstract.
Let \(V\) be a vertex operator algebra and let \(g\) be an automorphism of \(V\) of finite order \(n\). The fixed-point subspace \(V^{g}=\{\,v\in V \mid gv=v\,\}\) is a subVOA and is often called an orbifold subVOA.
It is clear that the orbifold VOA \(V^{g}\) is preserved by \(N_{\mathrm{Aut}(V)}(\langle g\rangle)\), where \(N_{\mathrm{Aut}(V)}(\langle g\rangle)\) is the normalizer of \(\langle g\rangle\) in \(\mathrm{Aut}(V)\).
An automorphism \(\phi\in\mathrm{Aut}(V^{g})\) is called an extra automorphism if \(\phi\) is not induced from an automorphism of \(V\).
In this talk, we discuss necessary and sufficient conditions for the existence of extra automorphisms for cyclic orbifolds of lattice VOAs.
16:00 – 16:30 · Coffee Break
16:30 – 17:20
Nina Yu
Xiamen University, China
Zhu Algebras of Permutation Orbifold Vertex Operator Algebras
Abstract.
In this talk, I will discuss the Zhu algebras associated with permutation orbifold vertex operator algebras and related topics.