Zobrazeno 1 - 10
of 40 469
pro vyhledávání: '"A. Wakimoto"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 12, Pp 33386-33400 (2024)
Higher-order nonlinear partial differential equations, such as the eighth-order Kac-Wakimoto model, are useful for studying wave turbulence in fluids, where energy transfers across a range of wave numbers. This phenomenon is observed in oceanographic
Externí odkaz:
https://doaj.org/article/3a05d3344330444da0b7ec3e871b89c5
Autor:
Franzini, Tommaso
The Feigin-Frenkel homomorphism underpinning the Wakimoto construction realises an affine Lie algebra at critical level in terms of the $\beta\gamma$-system of free fields. It was recently shown that much of the construction also goes through for dou
Externí odkaz:
http://arxiv.org/abs/2406.17855
Categorical coset constructions are investigated and Kac-Wakimoto Hypothesis associated with pseudo unitary modular tensor categories is proved. In particular, the field identifications are obtained. These results are applied to the coset constructio
Externí odkaz:
http://arxiv.org/abs/2404.00778
Akademický článek
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Autor:
Maltoni, Leonardo
We study the extension groups between (modular) Wakimoto sheaves in type $\tilde{A_1}$. Firstly we determine them completely over characteristic zero fields. Secondly we describe a dg model which allows us to compute these groups in the antispherical
Externí odkaz:
http://arxiv.org/abs/2303.16858
Akademický článek
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Autor:
Guerrini, Marcela, Kashuba, Iryna, Morales, Oscar, de Oliveira, André, Santos, Fernando Junior
We develop a general technique of constructing new irreducible weight modules for any affine Kac-Moody algebra using the parabolic induction, in the case when the Levi factor of a parabolic subalgebra is infinite-dimensional and the central charge is
Externí odkaz:
http://arxiv.org/abs/2201.07617
Autor:
Guerrini, Marcela, Kashuba, Iryna, Morales, Oscar, de Oliveira, André, Santos, Fernando Junior
Publikováno v:
In Journal of Pure and Applied Algebra July 2023 227(7)
Autor:
Singh, Manjit
An eighth-order equation in (3+1)-dimension is studied for its integrability. Its symmetry group is shown to be infinite-dimensional and is checked for Virasoro like structure. The equation is shown not to have Painlev$\acute{\rm e}$ property. One an
Externí odkaz:
http://arxiv.org/abs/2012.15069
Autor:
Entova-Aizenbud, Inna, Serganova, Vera
We prove the Kac-Wakimoto conjecture for the periplectic Lie superalgebra $\mathfrak{p}(n)$, stating that any simple module lying in a block of non-maximal atypicality has superdimension zero.
Comment: Preliminary version. arXiv admin note: text
Comment: Preliminary version. arXiv admin note: text
Externí odkaz:
http://arxiv.org/abs/1905.04712