Bulk flows in Virasoro minimal models with boundaries

被引：20

作者：

Fredenhagen, Stefan ^{[1
]}

Gaberdiel, Matthias R. ^{[2
]}

Schmidt-Colinet, Cornelius ^{[2
]}

机构：

[1] Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14424 Golm, Germany

[2] ETH, Inst Theoret Phys, CH-8093 Zurich, Switzerland

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 49期

关键词：

CONFORMAL FIELD-THEORIES; TRICRITICAL ISING-MODEL; QUANTUM-SYSTEMS; S-MATRIX; STATES; TBA; PERTURBATIONS; ENERGY; POINT;

D O I：

10.1088/1751-8113/42/49/495403

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The behaviour of boundary conditions under relevant bulk perturbations is studied for the Virasoro minimal models. In particular, we consider the bulk deformation by the least relevant bulk field which interpolates between the mth and (m - 1)th unitary minimal model. In the presence of a boundary, this bulk flow induces an RG flow on the boundary, which ensures that the resulting boundary condition is conformal in the (m - 1) th model. By combining perturbative RG techniques with insights from defects and results about non-perturbative boundary flows, we determine the endpoint of the flow, i.e. the boundary condition to which an arbitrary boundary condition of the mth theory flows to.

引用

页数：32

共 50 条

[1] VIRASORO CONSTRAINTS AND FLOWS IN HERMITIAN MATRIX MODELS
HERMANSSON, P
[J]. PHYSICS LETTERS B, 1991, 263 (3-4) : 385 - 390
[2] Virasoro representations and fusion for general augmented minimal models
Eberle, Holger
Flohr, Michael
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (49): : 15245 - 15286
[3] Structure constants for the D-series Virasoro minimal models
Runkel, I
[J]. NUCLEAR PHYSICS B, 2000, 579 (03) : 561 - 589
[4] Boundary structure constants for the A-series Virasoro minimal models
Runkel, I
[J]. NUCLEAR PHYSICS B, 1999, 549 (03) : 563 - 578
[5] Boundary flows in minimal models
Lesage, F
Saleur, H
Simonetti, P
[J]. PHYSICS LETTERS B, 1998, 427 (1-2) : 85 - 92
[6] Defect flows in minimal models
Kormos, Martin
Runkel, Ingo
Watts, Gerard M. T.
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2009, (11):
[7] The Virasoro minimal string
Collier, Scott
Eberhardt, Lorenz
Muehlmann, Beatrix
Rodriguez, Victor A.
[J]. SCIPOST PHYSICS, 2024, 16 (02):
[8] Critical RSOS and minimal models: fermionic paths, Virasoro algebra and fields
Feverati, G
Pearce, PA
[J]. NUCLEAR PHYSICS B, 2003, 663 (03) : 409 - 442
[9] Fermionic sum representations for the Virasoro characters of the unitary superconformal minimal models
Baver, E
Gepner, D
[J]. PHYSICS LETTERS B, 1996, 372 (3-4) : 231 - 235
[10] Coxeter and Dynkin diagrams and their associated twisted partition functions for the Virasoro minimal models
Coquereaux, R
Huerta, M
[J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 2004, 54 (11) : 1199 - 1207

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