Dolan, Brian P.
(2021)
Duality and modular symmetry in the quantum Hall effect from Lifshitz holography.
Journal of High Energy Physics, 2021 (8).
ISSN 1126-6708
Abstract
The temperature dependence of quantum Hall conductivities is studied in the
context of the AdS/CMT paradigm using a model with a bulk theory consisting of (3+1)-
dimensional Einstein-Maxwell action coupled to a dilaton and an axion, with a negative
cosmological constant. We consider a solution which has a Lifshitz like geometry with a
dyonic black-brane in the bulk. There is an Sl(2,R) action in the bulk corresponding to
electromagnetic duality, which maps between classical solutions, and is broken to Sl(2,Z) by
Dirac quantisation of dyons. This bulk Sl(2,Z) action translates to an action of the modular
group on the 2-dimensional transverse conductivities. The temperature dependence of
the infra-red conductivities is then linked to modular forms via gradient flow and the
resulting flow diagrams show remarkable agreement with existing experimental data on
the temperature flow of both integral and fractional quantum Hall conductivities.
| Item Type: |
Article
|
| Keywords: |
Discrete Symmetries; Duality in Gauge Field Theories; Field Theories in
Lower Dimensions; Holography and condensed matter physics (AdS/CMT); |
| Academic Unit: |
Faculty of Science and Engineering > Theoretical Physics |
| Item ID: |
18428 |
| Identification Number: |
https://doi.org/10.1007/JHEP08(2021)010 |
| Depositing User: |
Dr. Brian Dolan
|
| Date Deposited: |
25 Apr 2024 11:21 |
| Journal or Publication Title: |
Journal of High Energy Physics |
| Publisher: |
Institute of Physics |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
Repository Staff Only(login required)
 |
Item control page |
Downloads per month over past year
Origin of downloads
Altmetric
Altmetric