Tensor categories for vertex operator superalgebra extensions
T Creutzig, S Kanade, R McRae - arXiv preprint arXiv:1705.05017, 2017 - arxiv.org
… subcategory of V -modules to A-modules is a vertex tensor functor. Two applications are …
for regular vertex operator superalgebras and regular 1 2 Z-graded vertex operator algebras by …
for regular vertex operator superalgebras and regular 1 2 Z-graded vertex operator algebras by …
Module category and C2-cofiniteness of affine vertex operator superalgebras
C Ai, X Lin - Journal of Algebra, 2022 - Elsevier
… superalgebra L G ( 3 ) ( 1 , 0 ) . We prove that the category of ordinary modules of affine
vertex operator superalgebra L G ( 3 ) ( 1 , 0 ) is semisimple (see Theorem 6.8). …
vertex operator superalgebra L G ( 3 ) ( 1 , 0 ) is semisimple (see Theorem 6.8). …
Local systems of vertex operators, vertex superalgebras and modules
HS Li - Journal of Pure and Applied Algebra, 1996 - Elsevier
… vertex operator superalgebra V and three V-modules M’ (i = 1,2,3), giving an intertwining
operator … For any complex number L, we define C, to be the category with restricted Vir-modules …
operator … For any complex number L, we define C, to be the category with restricted Vir-modules …
On semisimplicity of module categories for finite non-zero index vertex operator subalgebras
R McRae - Letters in Mathematical Physics, 2022 - Springer
… These results are vertex operator algebra interpretations of theorems proved for general …
categories. We also generalize these results to the case that A is a vertex operator superalgebra…
categories. We also generalize these results to the case that A is a vertex operator superalgebra…
[图书][B] Tensor categories for vertex operator superalgebra extensions
T Creutzig, S Kanade, R McRae - 2024 - ams.org
… categories between local (super)algebra modules and extended vertex operator (super)algebra
modules is also an isomorphism of braided monoidal (super)categories. Using this result…
modules is also an isomorphism of braided monoidal (super)categories. Using this result…
Vertex Operator Superalgebras and Their
V Kac, W Wang - … aspects of conformal and topological field …, 1994 - books.google.com
… -module A (M) for every V-module M and then describe the fusion rules in terms of modules
A … a functor from the category of V-modules to the category of A (V)-modules which is bijective …
A … a functor from the category of V-modules to the category of A (V)-modules which is bijective …
Modularity in orbifold theory for vertex operator superalgebras
C Dong, Z Zhao - Communications in mathematical physics, 2005 - Springer
… and the category of V -modules and the category of finite … of vertex operator superalgebra
and vertex operator super… g-twisted modules for a vertex operator superalgebra V and a finite …
and vertex operator super… g-twisted modules for a vertex operator superalgebra V and a finite …
On rationality of vertex operator superalgebras
C Dong, J Han - International Mathematics Research Notices, 2014 - ieeexplore.ieee.org
… that g-rationality of a vertex operator superalgebra V = V0 ⊕ … -module is a submodule of an
irreducible g-twisted V-module … products for module categories for a vertex operator algebra, …
irreducible g-twisted V-module … products for module categories for a vertex operator algebra, …
Representations of vertex operator superalgebras over an arbitrary field
C Dong, W Wei - Journal of Algebra, 2022 - Elsevier
… vertex operator superalgebra over an arbitrary field in Section 2. We construct the associative
algebra A ( V ) of vertex operator superalgebra … module for V from an A ( V ) -module. The A …
algebra A ( V ) of vertex operator superalgebra … module for V from an A ( V ) -module. The A …
Modular invariance for twisted modules over a vertex operator superalgebra
J Van Ekeren - Communications in Mathematical Physics, 2013 - Springer
… modules over a vertex operator algebra graded by integer conformal weights, to the setting
of a vertex operator superalgebra … to the category of Zhug(V)-modules. It sends M to M0 with …
of a vertex operator superalgebra … to the category of Zhug(V)-modules. It sends M to M0 with …
相关搜索
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