Objective
There are many examples in physics when dynamics of the system in question can be shown to be integrable, i.e. entirely determined by the algebraic structure underlying its symmetries. It seems that the integrability is an emerging new principle of Nature, universal and ubiquitous. In particular, there are many recent examples of appearance of the integrable structure (exactly solvable non-linear partial differential equations) in quantum field theories (Yang-Mills theories), condensed matter systems (quantum Hall systems and various growth phenomena) and string theory models (matrix models, non-critical string theories).
The current project aims at exploration of the integrable structure of these and other phenomena and exploiting the powerful mathematical apparatus of the theory of integrable systems for gaining new information and proving new results in the fields of both condensed matter and particle physics. In particular, it is suggested to apply these methods to analytically construct conformal field theory description of edge-excitations of quantum Hall systems (both integer and fractional cases) as well as to the description of fingering in growth phenomena (such as e.g. Laplacian growth). Both are long-standing problems with wide range of both theoretical and experimental consequences. It is also proposed to use literally the same methods to describe quite different physically, but surprisingly close mathematically phenomena in the description of low-energy effective theories of (super-symmetric) gauge theories and their description in the language of string theory, as well as to different models of quantum gravity.
The progress here will come from the fact that integrable system has an exact non-perturbative description, thus overcoming the main difficulty of the strongly correlated systems (of which both non-Abelian gauge theories and gravity are examples) - limited applicability of the perturbative description.
Fields of science (EuroSciVoc)
- natural sciences physical sciences theoretical physics particle physics
- natural sciences physical sciences quantum physics quantum field theory
- natural sciences physical sciences theoretical physics string theory
- natural sciences mathematics applied mathematics mathematical physics conformal field theory
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2002-MOBILITY-7
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
IIF - Marie Curie actions-Incoming International Fellowships
Coordinator
BURES-SUR-YVETTE
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.