67 citations · 135 across the 12 of their papers we have counts for
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Representations of the Nappi--Witten vertex operator algebra
Andrei Babichenko, Kazuya Kawasetsu, David Ridout +1
The Nappi-Witten model is a Wess-Zumino-Witten model in which the target space is the nonreductive Heisenberg group . We consider the representation theory underlying this con…
The Drinfeld-Kohno theorem for the superalgebra
A. Babichenko
We revisit the derivation of Knizhnik-Zamolodchikov equations in the case of nonsemisimple categories of modules of a superalgebra in the case of the generic affne level and repres…
On boundary fusion and functional relations in the Baxterized affine Hecke algebra
Andrei Babichenko, Vidas Regelskis
We construct boundary type operators satisfying fused reflection equation for arbitrary representations of the Baxterized affine Hecke algebra. These operators are analogues of the…
Takiff superalgebras and Conformal Field Theory
A. Babichenko, D. Ridout
A class of non-semisimple extensions of Lie superalgebras is studied. They are obtained by adjoining to the superalgebra its adjoint representation as an abelian ideal. When the su…
Multi-parametric R-matrix for the sl(2|1) Yangian
Andrei Babichenko, Alessandro Torrielli
We study the Yangian of the sl(2|1) Lie superalgebra in a multi-parametric four-dimensional representation. We use Drinfeld's second realization to independently rederive the R-mat…