Objective
In the past years, our understanding of non-perturbative phenomena in string and field theory has undergone a dramatic change. The key to this development (the second supersting revolution) is the discovery of duality symmetries, which relate the strong and weak coupling limits of apparently different string theories. These symmetries not only relate apparently different string theories, but give us a way to compute certain strong coupling results in one string theory by mapping it to a weak coupling result in a dual string theory. It has become clear that many aspects of quantum field theory can be modelled by string theory. On the other hand experience with field theory helps to develop ideas, which enhance our understanding of string theory.
The project will cover various aspects of the string theory, quantum field theory and their interplay.
There are five main directions the project is devoted to:
The D branes which take the central role in the modern studies will be investigated from the different view points: their non-abelian nature is expected to be clarified, the properties of the curved D branes and branes on Calabi-Yau and the singular manifolds will be elaborated, the relation between D branes and large and small volumes will be established;
The AdS/CFT correspondence will be under investigation. The dual supergravity theories for the gauge theories in three and five dimensions shall be analysed, the examples of the correspondence for the nonconformal theories will be worked out, the application of the BPS states in the anti-deSitter space will be presented. The relation of the dynamics in the AdS space with the renormalization group in the boundary gauge theory will be studied in details;
The analysis of the strong coupling phenomena in the field theory will be performed. The almost tensionless strings in the softly broken N=2 SYM theory will be investigated and the behaviour of the N=1 SYM theories near the Argyres-Douglas points will be established. The integrability approach to the SYM theories will be developed further and the integrable system corresponding to 6d gauge theory will be found. The nonperturbative phenomena in the field theory will be investigated using the brane approach;
The noncommutative theories which provide the important tool for investigation of the nonperturbative effects shall be studied. The high orders of the perturbation theory in the noncommutative models will be found and the scattering of the noncommutative solitons will be analysed. The dual gravity description of the noncommutative theories will be proposed;
One more subject which will be under investigation is the boundary conformal field theory. It is planned to develop the approach to the most general N=2boundary CFT and relate it to the quiver theory. The integrable boundary Toda and Liouville theories also shall provide additional insights on the D brane dynamics. The solutions of these problems will improve understanding of the strong coupling phenomenon the various branches of high-energy physics. The intensive collaboration on these issues between different groups is expected.
The proposed project would continue the work (INTAS 97-103) which the involved groups already done in the many facets of the announced field. We expect successful realization of the proposed program basing both on the previous experience of the project participants in the field and on the tight connections between different teams, which can be provided within the frames of the project. Indeed, the main objectives presented in s.3.1.2 are associated with the research teams in accordance with the following scheme (we deal with the problems in the order as listed in s.3.1.2) demonstrating that the different groups, on one hand, can effectively interact and, on the other hand, naturally complement each other.
Call for proposal
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1211 Geneva
Switzerland