Sebastian Franco
Towards the continuous limit of cluster integrable systems
Franco, Sebastian; Galloni, Daniele; He, Yang-Hui
Authors
Daniele Galloni
Yang-Hui He
Abstract
We initiate the study of how to extend the correspondence between dimer models and (0 + 1)-dimensional cluster integrable systems to (1 + 1) and (2 + 1)-dimensional continuous integrable field theories, addressing various points that are necessary for achieving this goal. We first study how to glue and split two integrable systems, from the perspectives of the spectral curve, the resolution of the associated toric Calabi-Yau 3-folds and Higgsing in quiver theories on D3-brane probes. We identify a continuous parameter controlling the decoupling between the components and present two complementary methods for determining the dependence on this parameter of the dynamical variables of the integrable system. Interested in constructing systems with an infinite number of degrees of freedom, we study the combinatorics of integrable systems built up from a large number of elementary components, and introduce a toy model capturing important features expected to be present in a continuous reformulation of cluster integrable systems.
Citation
Franco, S., Galloni, D., & He, Y. (2012). Towards the continuous limit of cluster integrable systems. Journal of High Energy Physics, 2012(9), Article 20. https://doi.org/10.1007/jhep09%282012%29020
Journal Article Type | Article |
---|---|
Publication Date | Sep 6, 2012 |
Deposit Date | Mar 28, 2013 |
Publicly Available Date | Feb 7, 2014 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2012 |
Issue | 9 |
Article Number | 20 |
DOI | https://doi.org/10.1007/jhep09%282012%29020 |
Keywords | Brane dynamics in gauge theories, Conformal field models in string theory, Integrable equations in physics. |
Public URL | https://durham-repository.worktribe.com/output/1489987 |
Files
Published Journal Article
(794 Kb)
PDF
Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/
Copyright Statement
Open Access. This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
You might also like
Cluster Transformations from Bipartite Field Theories
(2013)
Journal Article
New directions in bipartite field theories
(2013)
Journal Article
Colored BPS pyramid partition functions, quivers and cluster transformations
(2012)
Journal Article
Dynamical supersymmetry breaking, with flavor
(2010)
Journal Article
Holographic approach to phase transitions
(2010)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search