The University of Southampton
University of Southampton Institutional Repository

Monodromy defects in free field theories

Monodromy defects in free field theories
Monodromy defects in free field theories
We study co-dimension two monodromy defects in theories of conformally
coupled scalars and free Dirac fermions in arbitrary d dimensions. We characterise this family of conformal defects by computing the one-point functions of the stress-tensor and conserved current for Abelian flavour symmetries as well as two-point functions of the displacement operator. In the case of d = 4, the normalisation of these correlation functions are related to defect Weyl anomaly coefficients, and thus provide crucial information about the defect conformal field theory. We provide explicit checks on the values of the defect
central charges by calculating the universal part of the defect contribution to entanglement entropy, and further, we use our results to extract the universal part of the vacuum Rényi entropy. Moreover, we leverage the non-supersymmetric free field results to compute anovel defect Weyl anomaly coefficient in a d = 4 theory of free N = 2 hypermultiplets.

Including singular modes in the defect operator product expansion of fundamental fields, we identify notable relevant deformations in the singular defect theories and show that they trigger a renormalisation group flow towards an IR fixed point with the most regular defect OPE. We also study Gukov-Witten defects in free d = 4 Maxwell theory and show that their central charges vanish.
1126-6708
Bianchi, Lorenzo
ede79ed4-e974-4128-8b84-3a6be3f8a7d0
Chalabi, Adam
fdf2f8ce-9b0e-44a1-b6e6-202e0ccccb7c
Procházka, Vladimír
1eb38e50-afe6-4e51-ad15-10f7192aebe4
Robinson, Brandon
56901315-b500-40af-9f3b-1b8cbbdfaffb
Sisti, Jacopo
d0865320-17e5-48b6-a89e-6b46c8e88f10
Bianchi, Lorenzo
ede79ed4-e974-4128-8b84-3a6be3f8a7d0
Chalabi, Adam
fdf2f8ce-9b0e-44a1-b6e6-202e0ccccb7c
Procházka, Vladimír
1eb38e50-afe6-4e51-ad15-10f7192aebe4
Robinson, Brandon
56901315-b500-40af-9f3b-1b8cbbdfaffb
Sisti, Jacopo
d0865320-17e5-48b6-a89e-6b46c8e88f10

Bianchi, Lorenzo, Chalabi, Adam, Procházka, Vladimír, Robinson, Brandon and Sisti, Jacopo (2021) Monodromy defects in free field theories. Journal of High Energy Physics, 2021 (8), [13]. (doi:10.1007/JHEP08(2021)013).

Record type: Article

Abstract

We study co-dimension two monodromy defects in theories of conformally
coupled scalars and free Dirac fermions in arbitrary d dimensions. We characterise this family of conformal defects by computing the one-point functions of the stress-tensor and conserved current for Abelian flavour symmetries as well as two-point functions of the displacement operator. In the case of d = 4, the normalisation of these correlation functions are related to defect Weyl anomaly coefficients, and thus provide crucial information about the defect conformal field theory. We provide explicit checks on the values of the defect
central charges by calculating the universal part of the defect contribution to entanglement entropy, and further, we use our results to extract the universal part of the vacuum Rényi entropy. Moreover, we leverage the non-supersymmetric free field results to compute anovel defect Weyl anomaly coefficient in a d = 4 theory of free N = 2 hypermultiplets.

Including singular modes in the defect operator product expansion of fundamental fields, we identify notable relevant deformations in the singular defect theories and show that they trigger a renormalisation group flow towards an IR fixed point with the most regular defect OPE. We also study Gukov-Witten defects in free d = 4 Maxwell theory and show that their central charges vanish.

Text
JHEP08(2021)013 - Version of Record
Available under License Creative Commons Attribution.
Download (1MB)

More information

Accepted/In Press date: 7 July 2021
Published date: 1 August 2021

Identifiers

Local EPrints ID: 474148
URI: http://eprints.soton.ac.uk/id/eprint/474148
ISSN: 1126-6708
PURE UUID: 10c4cf91-3295-4f82-928e-8d1f3997ea65
ORCID for Adam Chalabi: ORCID iD orcid.org/0000-0002-6596-1772

Catalogue record

Date deposited: 14 Feb 2023 17:41
Last modified: 17 Mar 2024 00:06

Export record

Altmetrics

Contributors

Author: Lorenzo Bianchi
Author: Adam Chalabi ORCID iD
Author: Vladimír Procházka
Author: Brandon Robinson
Author: Jacopo Sisti

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×