g-function flow in perturbed boundary conformal field theories

P Dorey; I Runkel; R Tateo; G Watts

doi:10.1016/S0550-3213(99)00772-5

g-function flow in perturbed boundary conformal field theories

P Dorey, I Runkel, R Tateo, G Watts

Research output: Contribution to journal › Article › peer-review

68 Citations (Scopus)

Abstract

The g-function was introduced by Affleck and Ludwig as a measure of the ground state degeneracy of a conformal boundary condition. We consider this function for perturbations of the conformal Yang-Lee model by bulk and boundary fields using conformal perturbation theory (CPT), the truncated conformal space approach (TCSA) and the thermodynamic Bethe Ansatz (TBA). We find that the TEA equations derived by LeClair et al. describe the massless boundary flows, up to an overall constant, but are incorrect when one considers a simultaneous bulk perturbation; however the TEA equations do correctly give the 'non-universal' linear term in the massive case, and the ratio of g-functions for different boundary conditions is also correctly produced. This ratio is related to the Y-system of the Yang-Lee model and by comparing the perturbative expansions of the Y-system and of the g-functions we obtain the exact relation between the UV and IR parameters of the massless perturbed boundary model. (C) 2000 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	85 - 122
Number of pages	38
Journal	Nuclear Physics, Section B
Volume	578
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(99)00772-5
Publication status	Published - 3 Jul 2000

Access to Document

10.1016/S0550-3213(99)00772-5

Cite this

@article{7f61b6da9b724c2ea295d6d1bd3f4ac6,

title = "g-function flow in perturbed boundary conformal field theories",

abstract = "The g-function was introduced by Affleck and Ludwig as a measure of the ground state degeneracy of a conformal boundary condition. We consider this function for perturbations of the conformal Yang-Lee model by bulk and boundary fields using conformal perturbation theory (CPT), the truncated conformal space approach (TCSA) and the thermodynamic Bethe Ansatz (TBA). We find that the TEA equations derived by LeClair et al. describe the massless boundary flows, up to an overall constant, but are incorrect when one considers a simultaneous bulk perturbation; however the TEA equations do correctly give the 'non-universal' linear term in the massive case, and the ratio of g-functions for different boundary conditions is also correctly produced. This ratio is related to the Y-system of the Yang-Lee model and by comparing the perturbative expansions of the Y-system and of the g-functions we obtain the exact relation between the UV and IR parameters of the massless perturbed boundary model. (C) 2000 Elsevier Science B.V. All rights reserved.",

author = "P Dorey and I Runkel and R Tateo and G Watts",

year = "2000",

month = jul,

day = "3",

doi = "10.1016/S0550-3213(99)00772-5",

language = "English",

volume = "578",

pages = "85 -- 122",

journal = "Nuclear Physics, Section B",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - g-function flow in perturbed boundary conformal field theories

AU - Dorey, P

AU - Runkel, I

AU - Tateo, R

AU - Watts, G

PY - 2000/7/3

Y1 - 2000/7/3

N2 - The g-function was introduced by Affleck and Ludwig as a measure of the ground state degeneracy of a conformal boundary condition. We consider this function for perturbations of the conformal Yang-Lee model by bulk and boundary fields using conformal perturbation theory (CPT), the truncated conformal space approach (TCSA) and the thermodynamic Bethe Ansatz (TBA). We find that the TEA equations derived by LeClair et al. describe the massless boundary flows, up to an overall constant, but are incorrect when one considers a simultaneous bulk perturbation; however the TEA equations do correctly give the 'non-universal' linear term in the massive case, and the ratio of g-functions for different boundary conditions is also correctly produced. This ratio is related to the Y-system of the Yang-Lee model and by comparing the perturbative expansions of the Y-system and of the g-functions we obtain the exact relation between the UV and IR parameters of the massless perturbed boundary model. (C) 2000 Elsevier Science B.V. All rights reserved.

AB - The g-function was introduced by Affleck and Ludwig as a measure of the ground state degeneracy of a conformal boundary condition. We consider this function for perturbations of the conformal Yang-Lee model by bulk and boundary fields using conformal perturbation theory (CPT), the truncated conformal space approach (TCSA) and the thermodynamic Bethe Ansatz (TBA). We find that the TEA equations derived by LeClair et al. describe the massless boundary flows, up to an overall constant, but are incorrect when one considers a simultaneous bulk perturbation; however the TEA equations do correctly give the 'non-universal' linear term in the massive case, and the ratio of g-functions for different boundary conditions is also correctly produced. This ratio is related to the Y-system of the Yang-Lee model and by comparing the perturbative expansions of the Y-system and of the g-functions we obtain the exact relation between the UV and IR parameters of the massless perturbed boundary model. (C) 2000 Elsevier Science B.V. All rights reserved.

UR - http://www.scopus.com/inward/record.url?scp=0034600575&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(99)00772-5

DO - 10.1016/S0550-3213(99)00772-5

M3 - Article

VL - 578

SP - 85

EP - 122

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -

g-function flow in perturbed boundary conformal field theories

Abstract

Access to Document

Other files and links

Fingerprint

Cite this