67 citations · 135 across the 12 of their papers we have counts for
12 papers
Nappi-Witten vertex operator algebra via inverse Quantum Hamiltonian Reduction
Drazen Adamovic, Andrei Babichenko
The representation theory of the Nappi-Witten VOA was initiated in arXiv:1104.3921 and arXiv:2011.14453. In this paper we use the technique of inverse quantum hamiltonian reduction…
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…
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)
Andrei Babichenko, Thomas Creutzig
Takiff superalgebras are a family of non semi-simple Lie superalgebras that are believed to give rise to a rich structure of indecomposable representations of associated conformal…
Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
Andrei Babichenko, Amit Dekel, Olof Ohlsson Sax
We study superstrings on AdS_3 x S^3 x T^4 supported by a combination of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz three form fluxes, and construct a set of finite-gap equation…
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…
Nonstandard Parafermions and String Compactification
Andrei Babichenko, Doron Gepner
Nonstandard parafermions are built and their central charges and dimensions are calculated. We then construct new N=2 superconformal field theories by tensoring the parafermions wi…
Thermodynamic Bethe ansatz for the AII sigma-models
Andrei Babichenko, Roberto Tateo
We derive thermodynamic Bethe ansatz equations describing the vacuum energy of the SU(2N)/Sp(N) nonlinear sigma model on a cylinder geometry. The starting points are the recently-p…
Principal chiral model scattering and the alternating quantum spin chain
Anastasia Doikou, Andrei Babichenko
We consider the critical alternating quantum spin chain with , spins. Using the Bethe ansatz technique we find explicit expressions for the -mat…
Integrable vector perturbations of W-invariant theories and their quantum group symmetry
A. Babichenko
Perturbations of and conformal theories which generalize the perturbations of conformal minimal models are shown to be integrable by counting argument. $A_{2n-…