4 papers
Kazhdan-Lusztig Correspondence for Vertex Operator Superalgebras from Abelian Gauge Theories
Thomas Creutzig, Wenjun Niu
We prove the Kazhdan-Lusztig correspondence for a class of vertex operator superalgebras which, via the work of Costello-Gaiotto, arise as boundary VOAs of topological B twist of 3…
Line Operators in 3d Holomorphic QFT: Meromorphic Tensor Categories and dg-Shifted Yangians
Tudor Dimofte, Wenjun Niu, Victor Py
We study line operators and their OPE's in perturbative 3d holomorphic-topological QFT's, including holomorphic-topological twists (quarter-BPS sectors) of 3d theories. In pa…
1-shifted Lie bialgebras and their quantizations
Wenjun Niu, Victor Py
In this paper, we define (cohomologically) 1-shifted Manin triples and 1-shifted Lie bialgebras, and study their properties. We derive many results that are parallel to those found…
Tannakian QFT: from spark algebras to quantum groups
Tudor Dimofte, Wenjun Niu
We propose a nonperturbative construction of Hopf algebras that represent categories of line operators in topological quantum field theory, in terms of semi-extended operators (spa…