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Defects in two dimensional field theories

Objective

The aim of this proposal is to study aspects of one dimensional defects in two dimensional field theories. One aspect is the relation of a certain class of defects, Wilson loops, to the integrable structure of Wess-Zumino-Witten models and coset models. Through the use of quantum groups, it should be possilbe to quantize these classical defects and describe exactly in a universal way a large class of boundary renormalization group flows of conformal field theories. A second aspect is the relations of defects to N=2 supersymmetric gauge theories in four dimensions. Recent results have shown mysterious connections between the eigenvalues of quantum defects and the instanton corrections of the moduli space of the gauge theories. We plan to study the defects of the Hitchin systems underlying the gauge theories, and relate them to kown defects in Liouville theory. This work should help elucidate the still poorly understood relations between N=2 gauge theories, integrable systems and conformal field theories in two dimensions.
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Coordinator

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS

Address

Rue Michel Ange 3
75794 Paris

France

Activity type

Research Organisations

EU Contribution

€ 157 945,60

Administrative Contact

Liliane Flabbee (Ms.)

Project information

Grant agreement ID: 254456

Status

Closed project

  • Start date

    1 September 2010

  • End date

    31 August 2012

Funded under:

FP7-PEOPLE

  • Overall budget:

    € 157 945,60

  • EU contribution

    € 157 945,60

Coordinated by:

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS

France