Duality structures for module categories of vertex operator algebras and the Feigin Fuchs boson
Huang, Lepowsky and Zhang have developed a module theory for vertex operator algebras
that endows suitably chosen module categories with the structure of braided monoidal …
that endows suitably chosen module categories with the structure of braided monoidal …
Deligne tensor products of categories of modules for vertex operator algebras
R McRae - arXiv preprint arXiv:2304.14023, 2023 - arxiv.org
We show that if $\mathcal {U} $ and $\mathcal {V} $ are locally finite abelian categories of
modules for vertex operator algebras $ U $ and $ V $, respectively, then the Deligne tensor …
modules for vertex operator algebras $ U $ and $ V $, respectively, then the Deligne tensor …
Vertex operator algebras, the Verlinde conjecture, and modular tensor categories
YZ Huang - Proceedings of the National Academy of …, 2005 - National Acad Sciences
Let V be a simple vertex operator algebra satisfying the following conditions:(i) V (n)= 0 for
n< 0,, and the contragredient module V'is isomorphic to V as a V-module;(ii) every weak V …
n< 0,, and the contragredient module V'is isomorphic to V as a V-module;(ii) every weak V …
Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules
YZ Huang, J Lepowsky, L Zhang - … : Proceedings of a Workshop Held at …, 2014 - Springer
This is the first part in a series of papers in which we introduce and develop a natural,
general tensor category theory for suitable module categories for a vertex (operator) …
general tensor category theory for suitable module categories for a vertex (operator) …
Grothendieck-Verdier duality in categories of bimodules and weak module functors
J Fuchs, G Schaumann, C Schweigert… - arXiv preprint arXiv …, 2023 - arxiv.org
Various monoidal categories, including suitable representation categories of vertex operator
algebras, admit natural Grothendieck-Verdier duality structures. We recall that such a …
algebras, admit natural Grothendieck-Verdier duality structures. We recall that such a …
Tensor categories for vertex operator superalgebra extensions
T Creutzig, S Kanade, R McRae - arXiv preprint arXiv:1705.05017, 2017 - arxiv.org
Let $ V $ be a vertex operator algebra with a category $\mathcal {C} $ of (generalized)
modules that has vertex tensor category structure, and thus braided tensor category …
modules that has vertex tensor category structure, and thus braided tensor category …
On semisimplicity of module categories for finite non-zero index vertex operator subalgebras
R McRae - Letters in Mathematical Physics, 2022 - Springer
Abstract Let V⊆ A be a conformal inclusion of vertex operator algebras and let C be a
category of grading-restricted generalized V-modules that admits the vertex algebraic …
category of grading-restricted generalized V-modules that admits the vertex algebraic …
Vertex operator algebras, fusion rules and modular transformations
YZ Huang - arXiv preprint math/0502558, 2005 - arxiv.org
We discuss a recent proof by the author of a general version of the Verlinde conjecture in the
framework of vertex operator algebras and the application of this result to the construction of …
framework of vertex operator algebras and the application of this result to the construction of …
Twisted modules and quasi-modules for vertex operator algebras
H Li - Contemporary Mathematics, 2007 - books.google.com
Twisted modules and quasi-modules for vertex operator algebras Page 412 http://dx. doi.
org/10.1090/conm/442/08537 Contemporary Mathematics Volume 442, 2007 Twisted modules …
org/10.1090/conm/442/08537 Contemporary Mathematics Volume 442, 2007 Twisted modules …
[图书][B] Tensor categories for vertex operator superalgebra extensions
T Creutzig, S Kanade, R McRae - 2024 - ams.org
Let $ V $ be a vertex operator algebra with a category $\mathcal {C} $ of (generalized)
modules that has vertex tensor category structure, and thus braided tensor category …
modules that has vertex tensor category structure, and thus braided tensor category …