Integrable deformations
Project goals
This project focuses on applications of ideas from integrable systems to two-dimensional sigma models with emphasis on applications to AdS/CFT holographic dualities. The main goal being to find systems that can be solved exactly and therefore used to understand in detail how holographic duality works. In particular we will study integrability preserving deformations of known integrable sigma models in order to expand the range of examples where integrable systems tools can be applied. For the large class of Yang-Baxter deformations we will develop further the understanding of their physical properties and the connection to other types of deformations which have recently been found. We aim to clarify the role of the Weyl anomaly in these models and develop the application of these deformations to conformal Wess-Zumino-Witten (WZW) models. Related deformations of scattering amplitudes, both in the two-dimensional sigma model and in the higher dimensional dual field theories, will also be investigated.
Keywords
integrable systemsdeformationtwo dimensional sigma modelstring theoryscattering theory
Public support
Provider
Czech Science Foundation
Programme
Standard projects
Call for proposals
SGA0202000001
Main participants
Masarykova univerzita / Přírodovědecká fakulta
Contest type
VS - Public tender
Contract ID
20-04800S
Alternative language
Project name in Czech
Integrabilni deformace
Annotation in Czech
Tento projekt je zaměřen na aplikaci metod používaných v integrabilních systémech v dvou dimensionálních sigma modelech s důrazem na použití při studiu AdS/CFT holografické duality. Hlavní cíl je najít systémy, které mají exaktní řešení, a které tedy mohou přispět k detailnímu pochopení, jak holografická dualita pracuje.
Scientific branches
Completed project evaluation
Provider evaluation
V - Vynikající výsledky projektu (s mezinárodním významem atd.)
Project results evaluation
The project results are nontrivial and interesting and may have significant impact within the research community. The project analysis is detailed and sound. The project's impact may reach outside its primary domain. Results disseminated in 18 impacted articles in peer-reviewed journals. No issues concerning grant regulations have been detected.
Solution timeline
Realization period - beginning
Jan 1, 2020
Realization period - end
Dec 31, 2022
Project status
U - Finished project
Latest support payment
May 11, 2022
Data delivery to CEP
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data delivery code
CEP23-GA0-GA-U
Data delivery date
Jun 26, 2023
Finance
Total approved costs
4,951 thou. CZK
Public financial support
4,951 thou. CZK
Other public sources
0 thou. CZK
Non public and foreign sources
0 thou. CZK
Basic information
Recognised costs
4 951 CZK thou.
Public support
4 951 CZK thou.
100%
Provider
Czech Science Foundation
OECD FORD
Particles and field physics
Solution period
01. 01. 2020 - 31. 12. 2022