Zobrazeno 1 - 10
of 255
pro vyhledávání: '"Yamada, Hiromichi"'
Autor:
Nagata, Masumi, Inage, Eisuke, Yamada, Hiromichi, Kudo, Takahiro, Toriumi, Shun, Sakaguchi, Keita, Tanaka, Yuko, Jimbo, Keisuke, Ohtsuka, Yoshikazu, Shimizu, Toshiaki
Publikováno v:
In Allergology International October 2024 73(4):556-562
Autor:
Lam, Ching Hung, Yamada, Hiromichi
An irreducible module for the parafermion vertex operator algebra $K(\mathfrak{sl}_2,k)$ is said to be of $\sigma$-type if an automorphism of the fusion algebra of $K(\mathfrak{sl}_2,k)$ of order $k$ is trivial on it. For any integer $k \ge 3$, we sh
Externí odkaz:
http://arxiv.org/abs/2012.10050
Autor:
Yamada, Hiromichi, Yamauchi, Hiroshi
We study a simple, self-dual, rational, and $C_2$-cofinite vertex operator algebra of CFT-type whose simple current modules are graded by $\mathbb{Z}_{2k}$. Based on those simple current modules, a vertex operator algebra associated with a $\mathbb{Z
Externí odkaz:
http://arxiv.org/abs/1912.01345
Publikováno v:
J. Math. Soc. Japan, Volume 73, Number 1 (2021), 185-209
We introduce a simple, self-dual, rational, and $C_2$-cofinite vertex operator algebra of CFT-type associated with a $\mathbb{Z}_k$-code for $k \ge 2$ based on the $\mathbb{Z}_k$-symmetry among the simple current modules for the parafermion vertex op
Externí odkaz:
http://arxiv.org/abs/1907.10216
Autor:
Yamada, Hiromichi, Yamauchi, Hiroshi
We study simple current extensions of tensor products of two vertex operator algebras satisfying certain conditions. We establish the relationship between the fusion rule for the simple current extension and the fusion rule for a tensor factor. In a
Externí odkaz:
http://arxiv.org/abs/1804.08242
Let $p$ be an odd prime and let $\widehat{\sigma}$ be an order $p$ automorphism of $V_{\sqrt{2}A_{p-1}}$ which is a lift of a $p$-cycle in the Weyl group ${\rm Weyl}(A_{p-1})\cong {\mathfrak S}_p$. We study a certain extension $V$ of a tensor product
Externí odkaz:
http://arxiv.org/abs/1708.06082
For $p = 3,5,7,13$, we consider a ${\mathbb Z}_p$-orbifold construction of the Moonshine vertex operator algebra $V^\natural$. We show that the vertex operator algebra obtained by the ${\mathbb Z}_p$-orbifold construction on the Leech lattice vertex
Externí odkaz:
http://arxiv.org/abs/1705.09022
We prove the conjectual isomorphism between the level $k$ $\widehat{sl}_2$-parafermion vertex operator algebra and the $(k+1,k+2)$ minimal series $W_k$-algebra for all integers $k \ge 2$. As a consequence, we obtain the conjectural isomorphism betwee
Externí odkaz:
http://arxiv.org/abs/1701.06229
Autor:
Yamada, Hiromichi, Yamauchi, Hiroshi
Publikováno v:
In Journal of Algebra 1 May 2021 573:451-475
Autor:
Abe, Toshiyuki, Yamada, Hiromichi
We study the commutant of the vertex operator algebra $\mathcal{L}_{\widehat{\mathfrak{sl}}_2}(4,0)$ in the cyclic permutation orbifold model $(\mathcal{L}_{\widehat{\mathfrak{sl}}_2}(1,0)^{\otimes 4})^\tau$ with $\tau=(1\,2\,3\,4)$. It is shown that
Externí odkaz:
http://arxiv.org/abs/1404.1974