Symmetry breaking boundaries I. General theory

被引:80
作者
Fuchs, J [1 ]
Schweigert, C
机构
[1] CERN, CH-1211 Geneva 23, Switzerland
[2] ETH Honggerberg, Inst Theoret Phys, CH-8093 Zurich, Switzerland
关键词
boundary conditions; conformal field theory; simple currents; symmetry breaking;
D O I
10.1016/S0550-3213(99)00406-X
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study conformally invariant boundary conditions that break part of the bulk symmetries. A general theory is developed for those boundary conditions for which the preserved subalgebra is the fixed algebra under an abelian orbifold group. We explicitly construct the boundary states and reflection coefficients as well as the annulus amplitudes. Integrality of the annulus coefficients is proven in full generality. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:419 / 483
页数:65
相关论文
共 42 条
[1]   GENERAL APPROACH TO DUAL MULTILOOP DIAGRAMS [J].
ALESSANDRINI, V .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A, 1971, A 2 (02) :321-+
[2]   The untwisted stabilizer in simple current extensions [J].
Bantay, P .
PHYSICS LETTERS B, 1997, 396 (1-4) :183-185
[3]   Simple current extensions and mapping class group representations [J].
Bantay, P .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1998, 13 (02) :199-207
[4]   Mapping class group representations and generalized Verlinde formula [J].
Bántay, P ;
Vecsernyés, P .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1999, 14 (09) :1325-1335
[5]   On the classification of bulk and boundary conformal field theories [J].
Behrend, RE ;
Pearce, PA ;
Petkova, VB ;
Zuber, JB .
PHYSICS LETTERS B, 1998, 444 (1-2) :163-166
[6]  
Brown K. S., 1982, Cohomology of groups, V87
[7]   LOOP CORRECTIONS TO SUPERSTRING EQUATIONS OF MOTION [J].
CALLAN, CG ;
LOVELACE, C ;
NAPPI, CR ;
YOST, SA .
NUCLEAR PHYSICS B, 1988, 308 (2-3) :221-284
[8]   BOUNDARY-CONDITIONS, FUSION RULES AND THE VERLINDE FORMULA [J].
CARDY, JL .
NUCLEAR PHYSICS B, 1989, 324 (03) :581-596
[9]   BULK AND BOUNDARY OPERATORS IN CONFORMAL FIELD-THEORY [J].
CARDY, JL ;
LEWELLEN, DC .
PHYSICS LETTERS B, 1991, 259 (03) :274-278
[10]   THE OPERATOR ALGEBRA OF ORBIFOLD MODELS [J].
DIJKGRAAF, R ;
VAFA, C ;
VERLINDE, E ;
VERLINDE, H .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 123 (03) :485-526