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20092022
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math.QA2022

Weight-one elements of vertex operator algebras and automorphisms of categories of generalized twisted modules

Yi-Zhi Huang, Christopher Sadowski

Given a weight-one element of a vertex operator algebra , we construct an automorphism of the category of generalized -twisted modules for automorphisms of fixing…

math.QA2022

-Permutation Orbifolds of Virasoro Vertex Algebras

Antun Milas, Michael Penn, Christopher Sadowski

In this paper, a continuation of \cite{MPS}, we investigate the -orbifold subalgebra of , that is, we consider the -fixed point vertex subalg…

math.QA2020

Permutation orbifolds of Virasoro vertex algebras and -algebras

Antun Milas, Michael Penn, Christopher Sadowski

We study permutation orbifolds of the -fold and -fold tensor product for the Virasoro vertex algebra of central charge . In particular, we show that for al…

math.QA2018

Presentations of Principal Subspaces of Higher Level Standard -Modules

Corina Calinescu, Michael Penn, Christopher Sadowski

We study the principal subspaces of higher level standard -modules, extending earlier work in the level one case, by Calinescu, Lepowsky, and Milas. We prove natural pre…

math.QA2018

Principal subspaces of twisted modules for certain lattice vertex operator algebras

Michael Penn, Christopher Sadowski, Gautam Webb

This is the third in a series of papers studying the vertex-algebraic structure of principal subspaces of twisted modules for lattice vertex operator algebras. We focus primarily o…

math.QA2018

Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type , , and

Marijana Butorac, Christopher Sadowski

We construct combinatorial bases of principal subspaces of standard modules of level with highest weight for the twisted affine Lie algebras of type $A_{2l-1}^{(2…