Twisted boundary states and representation of generalized fusion algebra
文献类型：期刊论文
| 作者 | Tani, T; Ishikawa, H; Ishikawa, H , Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan |
| 刊名 | NUCLEAR PHYSICS B
 |
| 出版日期 | 2006 |
| 卷号 | 739期号:3页码:328-388 |
| 关键词 | Conformal Field-theories Symmetry-breaking Boundaries Virasoro Minimal Models Modular Invariants Alpha-induction Structure Constants Graphs Subfactors Nets Operators |
| ISSN号 | 0550-3213 |
| 英文摘要 | The mutual consistency of boundary conditions twisted by an automorphism group G of the chiral algebra is studied for general modular invariants of rational conformal field theories. We show that a consistent set of twisted boundary states associated with any modular invariant realizes a non-negative integer matrix representation (NIM-rep) of the generalized fusion algebra, an extension of the fusion algebra by representations of the twisted chiral algebra associated with the automorphism group G. We check this result for several concrete cases. In particular, we find that two NIM-reps of the fusion algebra for su(3)(k) (k = 3, 5) are organized into a NIM-rep of the generalized fusion algebra for the charge-conjugation automorphism of su(3)k. We point out that the generalized fusion algebra is non-commutative if G is non-Abelian and provide some examples for G congruent to S-3. Finally, we give an argument that the graph fusion algebra associated with simple cut-rent extensions coincides with the generalized fusion algebra for the extended chiral algebra, and thereby explain that the graph fusion algebra contains the fusion algebra of the extended theory as a subalgebra. (c) 2006 Elsevier B.V. All rights reserved. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000236500300003 |
| 公开日期 | 2012-08-02 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/6004]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Ishikawa, H , Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan |
| 推荐引用方式 GB/T 7714 | Tani, T,Ishikawa, H,Ishikawa, H , Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan. Twisted boundary states and representation of generalized fusion algebra[J]. NUCLEAR PHYSICS B,2006,739(3):328-388. |
| APA | Tani, T,Ishikawa, H,&Ishikawa, H , Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan.(2006).Twisted boundary states and representation of generalized fusion algebra.NUCLEAR PHYSICS B,739(3),328-388. |
| MLA | Tani, T,et al."Twisted boundary states and representation of generalized fusion algebra".NUCLEAR PHYSICS B 739.3(2006):328-388. |
入库方式： OAI收割
来源：理论物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。