PARAFERMION VERTEX OPERATOR ALGEBRAS AND W-ALGEBRAS

被引：21

作者：

Arakawa, Tomoyuki ^{[1
]}

Lam, Ching Hung ^{[2
]}

Yamada, Hiromichi ^{[3
]}

机构：

[1] Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan

[2] Acad Sinica, Inst Math, Taipei 115, Taiwan

[3] Hitotsubashi Univ, Dept Math, Kunitachi, Tokyo 1868601, Japan

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 06期

关键词：

AFFINE; REPRESENTATIONS; DIMENSIONS; SYMMETRY; LEVEL;

D O I：

10.1090/tran/7547

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the conjectural isomorphism between the level k (sl(2)) over cap -parafermion vertex operator algebra and the (k + 1, k + 2)-minimal series W-k-algebra for all k >= 2. As a consequence, we obtain the conjectural isomorphism between the (k + 1, k + 2)-minimal series W-k-algebra and the coset vertex operator algebra SU(k)(1) circle times SU(k)(1)/SU(k)(2).

引用

页码：4277 / 4301

页数：25

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