Objective
The aim of the project is to promote the collaboration between the experts in the theory of integrable models and the specialists doing their research in various fields of physics.
The general line of the project is the support of the exchange of the scientists between the participating groups. It will not only create the conditions for the investigation of the problems encompassed by this project but also will serve for the purpose of establishing long time contacts between the groups working in different fields. The project also implies financial support of the research activities of the NIS groups, the scientific potential of which is important to preserve. Financial support will be given in the form of individual grants for some of the teams' members.
The research will be concentrated on the applications of integrability to strongly correlated condensed matter, quantum Hall effect, 1D many-body systems;
field theories with topologically non-trivial soliton structures; integrable massive field theories.
The following results are expected to be obtained:
Solution of the impurity scattering problem in quantum wire near the free
fermions point;
Transport in strongly biased quantum wires;
Construction of effective theories with knot-like soliton structures in
particle physics and condensed matter theory;
Partition functions of integrable quantum field theories via localization in
functional integral;
Universality class of the interplateaux integer quantum Hall transition
point;
Model of the fractional quantum Hall interplateaux transition;
Edge theory of quantum Hall system on a lattice;
q-deformed Ward identities for massive integrable field theories;
BRST for quantum groups.
Topic(s)
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75108 Uppsala
Sweden