2014年4月8日
Commutant of $\mathcal{L}_{\widehat{\mathfrak{sl } }_2}(4,0)$ in the cyclic permutation orbifold of $\mathcal{L}_{\widehat{\mathfrak{sl } }_2}(1,0)^{\otimes 4}$
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We study the commutant of the vertex operator algebra<br />
$\mathcal{L}_{\widehat{\mathfrak{sl } }_2}(4,0)$ in the cyclic permutation<br />
orbifold model $(\mathcal{L}_{\widehat{\mathfrak{sl } }_2}(1,0)^{\otimes<br />
4})^\tau$ with $\tau=(1\,2\,3\,4)$. It is shown that the commutant is<br />
isomorphic to a ${\mathbb Z}_2\times{\mathbb Z}_2$-orbifold model of a tensor<br />
product of two lattice type vertex operator algebras of rank one.
$\mathcal{L}_{\widehat{\mathfrak{sl } }_2}(4,0)$ in the cyclic permutation<br />
orbifold model $(\mathcal{L}_{\widehat{\mathfrak{sl } }_2}(1,0)^{\otimes<br />
4})^\tau$ with $\tau=(1\,2\,3\,4)$. It is shown that the commutant is<br />
isomorphic to a ${\mathbb Z}_2\times{\mathbb Z}_2$-orbifold model of a tensor<br />
product of two lattice type vertex operator algebras of rank one.
- ID情報
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- arXiv ID : arXiv:1404.1974