Objective
This joint project in the field of modern problems in theoretical and mathematical physics is aimed at the development of supersymmetry, quantum groups and integral models, and applications to condensed matter and elementary particle physics.
The results are aimed at the construction and better understanding of systems containing super- and quantum approaches to quantum systems. They will thus be of importance for any physical theory containing quantum effects. The project will make a significant contribution in theoretical and mathematical physics and, quite possibly, will contribute to solving problems of applied interest.
Hopf algebras in the form of quantum groups have found increasing interest in mathematical physics. They are at the basis of integrable systems where they have been discovered. The aim now is to start from quantum groups and construct the corresponding system. New forms of associativity will be studied under the aspect of what associative structures can be embeded into the good symmetries SU(2)xU(1) electroweak, SU(3) and Poincare invariance to extend these symmetries. In future links the Born-Infeld equations will be explored, and other examples with an infinite number of inequivalent Lagrangians will be looked for. Other aspects of the symmetry of integrable systems will be studied. Dynamical systems in q-deformed space-time and field theories possessing quantum group gauge symmetries and deformed Poincare group structures will be studied. A further elaboration of the algebraic and differential-geometric structure of quantum groups and related mathematical objects, such as paragrassmann and quantum-space calculus, are required. Development of efficient methods (including computer programs) for constructing quantum groups and their comodules is envisaged. Paragrassmann algebras will also be studied as basic objects for constructing quantum symmetries and their finite-dimensional representations for the case q = root-of-unity.
The twistor superfield formulation of superstrings and supermembrane and the covariant quantization scheme for them will be developed. The twistor-like approach will also be applied to the problem of the solution of the non-linear (super)membrane equations. An off-shell description of N=4 super Yang-Mills theory in the bi-harmonic superspace will be studied. New W-type (super)symmetries and the associated integrable hierarchies will be constructed and analyzed in the framework of the covariant reduction and harmonic (super)space approaches. Then, q-deformed extended supersymmetries will be studied and quantum harmonic superspace will be constructed.
Fields of science (EuroSciVoc)
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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
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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.
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Coordinator
80333 München
Germany
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.