Non-negative integral level affine lie algebra tensor categories and their associativity isomorphisms
R McRae - Communications in Mathematical Physics, 2016 - Springer
… a more general logarithmic tensor category theory for so-called generalized modules for
a vertex operator algebra. Using this theory, Zhang showed in [53] that the braided tensor …
a vertex operator algebra. Using this theory, Zhang showed in [53] that the braided tensor …
[HTML][HTML] On the tensor structure of modules for compact orbifold vertex operator algebras
R McRae - Mathematische Zeitschrift, 2020 - Springer
… modules contained in V live in some braided tensor category … of braided tensor category
structure on modules for a vertex … on the (logarithmic) vertex tensor category theory of Huang-…
structure on modules for a vertex … on the (logarithmic) vertex tensor category theory of Huang-…
[HTML][HTML] On semisimplicity of module categories for finite non-zero index vertex operator subalgebras
R McRae - Letters in Mathematical Physics, 2022 - Springer
… , meaning that we can apply tools from tensor category theory to … a category of (grading-restricted
generalized) V-modules that … and that tensor products are determined by (logarithmic) …
generalized) V-modules that … and that tensor products are determined by (logarithmic) …
Tensor structure on the Kazhdan–Lusztig category for affine 𝔤𝔩 (1| 1)
T Creutzig, R McRae, J Yang - … Mathematics Research Notices, 2022 - academic.oup.com
… existence of the logarithmic tensor categories constructed in [43… Virasoro module categories
have vertex tensor category … vertex tensor categories of relaxed highest-weight modules for …
have vertex tensor category … vertex tensor categories of relaxed highest-weight modules for …
Tensor Categories for Vertex Operator Superalgebra Extensions
T Creutzig, S Kanade, R McRae - 2024 - ams.org
… tensor category of either $V$-modules or $C$-modules is … classify all inequivalent simple
modules for the other algebra … , Logarithmic tensor category theory for generalized modules …
modules for the other algebra … , Logarithmic tensor category theory for generalized modules …
[HTML][HTML] Braided Tensor Categories Related to Vertex Algebras
J Auger, T Creutzig, S Kanade, M Rupert - … in Mathematical Physics, 2020 - Springer
… Moreover, they nicely illustrate the power of the theory of … Verlinde’s formulae for logarithmic
conformal field theories. … Such a category is usually called a modular tensor category and …
conformal field theories. … Such a category is usually called a modular tensor category and …
An algebraic theory for logarithmic Kazhdan-Lusztig correspondences
T Creutzig, S Lentner, M Rupert - arXiv preprint arXiv:2306.11492, 2023 - arxiv.org
… is that braided tensor categories of modules of quantum … The theory developed at this point
can now be used to prove … braided tensor categories in the context of the logarithmic Kazhdan…
can now be used to prove … braided tensor categories in the context of the logarithmic Kazhdan…
On dualizability of braided tensor categories
… Morita categories of locally presentable tensor categories and braided tensor categories. …
Every left A-module category M (which we assume to be strict) has a canonical structure of a …
Every left A-module category M (which we assume to be strict) has a canonical structure of a …
[图书][B] Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I
S Lentner, SN Mierach, C Schweigert… - 2023 - books.google.com
… that a semisimple modular tensor category gives rise to a topological field theory. In … class
groups are assigned to certain tensor categories in topological field theory. For this, we use the …
groups are assigned to certain tensor categories in topological field theory. For this, we use the …