Local fields in boundary conformal QFT

被引：41

作者：

Longo, R ^{[1
]}

Rehren, KH

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Gottingen, Inst Theoret Phys, D-37077 Gottingen, Germany

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2004年 / 16卷 / 07期

关键词：

quantum field theory; boundary conditions; operator algebras; modular theory;

D O I：

10.1142/S0129055X04002163

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Conformal quantum field theory on the half-space x > 0 of Minkowski space-time ("boundary CFT") is analyzed from an algebraic point of view, clarifying in particular the algebraic structure of local algebras and the bi-localized charge structure of local fields. The field content and the admissible boundary conditions are characterized in terms of a non-local chiral field algebra.

引用

页码：909 / 960

页数：52

共 46 条

[1] Boundary conditions in rational conformal field theories (vol B570, pg 525, 2000) [J].

Behrend, RE ;

Pearce, PA ;

Petkova, VB ;

Zuber, JB .

NUCLEAR PHYSICS B, 2000, 579 (03) :707-773

[2] Modular invariants from subfactors:: Type I coupling matrices and intermediate subfactors [J].

Böckenhauer, J ;

Evans, DE .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 213 (02) :267-289

[3] Modular invariants, graphs and α-induction for nets of subfactors I [J].

Bockenhauer, J ;

Evans, DE .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 197 (02) :361-386

[4] On α-induction, chiral generators and modular invariants for subfactors [J].

Böckenhauer, J ;

Evans, DE ;

Kawahigashi, Y .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 208 (02) :429-487

[5] Longo-Rehren subfactors arising α-induction [J].

Böckenhauer, J ;

Evans, DE ;

Kawahigashi, Y .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2001, 37 (01) :1-35

[6]

Bockenhauer J., 2001, MATH PHYS MATH PHYS, V30, P11

[7]

Borchers H. J., 1966, COMMUN MATH PHYS, V2, P49

[8] NUCLEAR MAPS AND MODULAR STRUCTURES .2. APPLICATIONS TO QUANTUM-FIELD THEORY [J].

BUCHHOLZ, D ;

DANTONI, C ;

LONGO, R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 129 (01) :115-138

[9] CONFORMAL-INVARIANCE AND SURFACE CRITICAL-BEHAVIOR [J].

CARDY, JL .

NUCLEAR PHYSICS B, 1984, 240 (04) :514-532

[10]

D'Antoni C, 2001, J OPERAT THEOR, V45, P195

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