130 citations · 2.5k across the 122 of their papers we have counts for
9 papers · 1 filter
A quasi-Hopf algebra for the triplet vertex operator algebra
Thomas Creutzig, Azat M. Gainutdinov, Ingo Runkel
We give a new factorisable ribbon quasi-Hopf algebra U, whose underlying algebra is that of the restricted quantum group for sl(2) at a 2p'th root of unity. The representation cate…
Cosets of the -algebra
Thomas Creutzig, Andrew R. Linshaw
Let be the universal -algebra associated to with its subregular nilpotent element, and let $\ma…
Braided tensor categories of admissible modules for affine Lie algebras
Thomas Creutzig, Yi-Zhi Huang, Jinwei Yang
Using the tensor category theory developed by Lepowsky, Zhang and the second author, we construct a braided tensor category structure with a twist on a semisimple category of modul…
Vertex Algebras for S-duality
Thomas Creutzig, Davide Gaiotto
We define new deformable families of vertex operator algebras associated to a large set of S-duality operations in four-dimensional supersymmetri…
Representation theory of from vertex tensor categories and Jacobi forms
Thomas Creutzig, Jesse Frohlich, Shashank Kanade
The purpose of this work is to illustrate in a family of interesting examples how to study the representation theory of vertex operator superalgebras by combining the theory of ver…
Tensor categories for vertex operator superalgebra extensions
Thomas Creutzig, Shashank Kanade, Robert McRae
Let be a vertex operator algebra with a category of (generalized) modules that has vertex tensor category structure, and thus braided tensor category structure, a…