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Twisted boundary states and representation of generalized fusion algebra
Ishikawa, H; Tani, T; Ishikawa, H , Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan
2006
发表期刊NUCLEAR PHYSICS B
ISSN0550-3213
卷号739期号:3页码:328-388
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.
部门归属Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan; Chinese Acad Sci, Inst Theoret Phys, Interdisciplinary Ctr Theoret Studies, Beijing 100080, Peoples R China
关键词Conformal Field-theories Symmetry-breaking Boundaries Virasoro Minimal Models Modular Invariants Alpha-induction Structure Constants Graphs Subfactors Nets Operators
学科领域Physics
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收录类别SCI
WOS记录号WOS:000236500300003
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被引频次:2[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/6004
专题理论物理所1978-2010年知识产出
通讯作者Ishikawa, H , Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan
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Ishikawa, H,Tani, T,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 Ishikawa, H,Tani, T,&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 Ishikawa, H,et al."Twisted boundary states and representation of generalized fusion algebra".NUCLEAR PHYSICS B 739.3(2006):328-388.
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