299 citations · 1.4k across the 68 of their papers we have counts for
69 papers
3-Manifolds and VOA Characters
Miranda C. N. Cheng, Sungbong Chun, Boris Feigin +4
By studying the properties of -series -invariants, we develop a dictionary between 3-manifolds and vertex algebras. In particular, we generalize previously known ent…
Combinatorics of vertex operators and deformed -algebra of type D
B. Feigin, M. Jimbo, E. Mukhin
We consider sets of screening operators with fermionic screening currents. We study sums of vertex operators which formally commute with the screening operators assuming that each…
Urod algebras and Translation of W-algebras
Tomoyuki Arakawa, Thomas Creutzig, Boris Feigin
In this work, we introduce Urod algebras associated to simply-laced Lie algebras as well as the concept of translation of W-algebras. Both results are achieved by showing that the…
Dual description of -deformed OSP sigma models
Mikhail Alfimov, Boris Feigin, Ben Hoare +1
We study the dual description of the -deformed sigma model in the asymptotically free regime (). Compared to the case of classical Lie groups, for supergroup…
superconformal algebras and diagonal cosets
Thomas Creutzig, Boris Feigin, Andrew R. Linshaw
Coset constructions of -algebras have many applications, and were recently given for principal -algebras of , , and types by Arakawa together wi…
Shuffle algebra realization of quantum affine superalgebra
Boris Feigin, Yue Hu
We give shuffle algebra realization of positive part of quantum affine superalgebra associated to any simple root systems. We also determine…