Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Andrei Babichenko"'
Publikováno v:
Letters in Mathematical Physics. 111
The Nappi-Witten model is a Wess-Zumino-Witten model in which the target space is the nonreductive Heisenberg group $H_4$. We consider the representation theory underlying this conformal field theory. Specifically, we study the category of weight mod
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22d629f19bef8a2ea1b643fc0bb26ddc
https://doi.org/10.1007/s11005-021-01471-5
https://doi.org/10.1007/s11005-021-01471-5
Autor:
Andrei Babichenko
Publikováno v:
Letters in Mathematical Physics. 111
We revisit the derivation of Knizhnik–Zamolodchikov equations in the case of non-semisimple categories of modules of a superalgebra in the case of the generic affine level and representations parameters. A proof of existence of asymptotic solutions
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https://explore.openaire.eu/search/publication?articleId=doi_________::74b7db295125645db803e2cb57d57d4f
https://doi.org/10.1007/s11005-021-01412-2
https://doi.org/10.1007/s11005-021-01412-2
Autor:
Doron Gepner, Andrei Babichenko
Publikováno v:
Nuclear Physics B. 854:375-392
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 with a free boson. We study the spectrum and modular transformations of
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d069ef41800206683ed69d33f80a428
https://doi.org/10.1016/j.nuclphysb.2011.08.027
https://doi.org/10.1016/j.nuclphysb.2011.08.027
Autor:
Thomas Creutzig, Andrei Babichenko
Publikováno v:
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
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 con- formal field theories. We consider the Takiff superalgebra of gl(1j1), espe
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68af42b7e76d1199ed975605c856a096
Autor:
Anastasia Doikou, Andrei Babichenko
Publikováno v:
Physics Letters B. 515:220-230
We consider the critical alternating quantum spin chain with ${q_{+}\over 2}$, ${q_{-} \over2}$ spins. Using the Bethe ansatz technique we find explicit expressions for the $S$-matrix of the model. We show that in the limit that $q_{\pm} \rightarrow
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c32914802e04481c7c2d01f080dd610e
https://doi.org/10.1016/s0370-2693(01)00850-4
https://doi.org/10.1016/s0370-2693(01)00850-4
Autor:
Andrei Babichenko, David 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 superalgebra is of affine Kac-Moody type, a generalisation of Sugawara's
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http://arxiv.org/abs/1210.7094
http://arxiv.org/abs/1210.7094
Autor:
Andrei Babichenko
We consider two dimensional non linear sigma models on few symmetric superspaces, which are supergroup manifolds of coset type. For those spaces where one loop beta function vanishes, two loop beta function is calculated and is shown to be zero. Vani
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc4140e8dbbe058d96c70dea8ed3fa48
http://arxiv.org/abs/hep-th/0611214
http://arxiv.org/abs/hep-th/0611214
Autor:
Andrei Babichenko
We derive the TBA system of equations from the S-matrix describing integrable massive perturbation of the coset $G_l \times G_m / G_{l+m}$ by the field $(1,1,adj)$ for all the infinite series of the simple Lie algebras $G=A,B,C,D$. In the cases A,C,
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23fda2c91f5ec10517b24df4641ecd52
http://arxiv.org/abs/hep-th/0402164
http://arxiv.org/abs/hep-th/0402164
Autor:
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-proposed amplitudes for the scattering among the physical, massive exci
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f68e3ceca66bef11b50d1aea7cea3c6c
http://hdl.handle.net/2318/10276
http://hdl.handle.net/2318/10276
Autor:
Vidas Regelskis, Andrei Babichenko
Publikováno v:
Journal of Mathematical Physics. 55:043503
We construct boundary type operators satisfying fused reflection equation for arbitrary representations of the Baxterized affine Hecke algebra. These operators are analogues of the fused reflection matrices in solvable half-line spin chain models. We
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c60a27877012511fa6ea992f9b0e2db2
https://doi.org/10.1063/1.4870597
https://doi.org/10.1063/1.4870597