Zobrazeno 1 - 10
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pro vyhledávání: '"KAC, VICTOR G."'
Autor:
Kac, Victor G., Wakimoto, Minoru
We find modular transformations of normalized characters for the following $W$-algebras: (a) $W^{min}_k(\frak{g})$, where $\frak{g}=D_n \, (n \geq 4)$, or $E_6$, $E_7$, $E_8$, and $k$ is a negative integer $\geq -2$, or $\geq -\frac{h^{\vee}}{6}-1$,
Externí odkaz:
http://arxiv.org/abs/2409.18765
In this paper we study unitary Ramond twisted representations of minimal $W$-algebras. We classify all such irreducible highest weight representations with a non-Ramond extremal highest weight (unitarity in the Ramond extremal case, as well as in the
Externí odkaz:
http://arxiv.org/abs/2405.19090
Autor:
Gorelik, Maria, Kac, Victor G.
Simplicity of universal minimal quantum affine W-algebras is studied. As an application, we find the values of the center, for which the vacuum module over a superconformal algebra is irreducible.
Externí odkaz:
http://arxiv.org/abs/2307.14220
We discuss the theory of Poisson vertex algebras and their generalizations in relation to integrability of Hamiltonian PDE. In particular, we discuss the theory of affine classical W-algebras and apply it to construct a large class of integrable Hami
Externí odkaz:
http://arxiv.org/abs/2306.09709
Autor:
Kac, Victor G.
Foundations of the theory of vertex algebras are extended to the non-Archimedean setting.
Externí odkaz:
http://arxiv.org/abs/2304.09651
Publikováno v:
Comm. Math. Phys. 405 (2024), no. 2, Paper No. 33
We prove that any unitary highest weight module over a universal minimal quantum affine $W$-algebra at non-critical level descends to its simple quotient. We find the defining relations of the unitary simple minimal quantum affine $W$-algebras and th
Externí odkaz:
http://arxiv.org/abs/2302.05269
Publikováno v:
Jpn. J. Math. 18, 169-274 (2023)
To a positive-definite even lattice $Q$, one can associate the lattice vertex algebra $V_Q$, and any automorphism $\sigma$ of $Q$ lifts to an automorphism of $V_Q$. In this paper, we investigate the orbifold vertex algebra $V_Q^\sigma$, which consist
Externí odkaz:
http://arxiv.org/abs/2210.11936