Heterotic/Type-II duality and its field theory avatars

Details Heterotic/Type-II duality and its field theory avatars Heterotic/Type-II duality and its field theory avatars

Oct 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aipc..490..217k&link_type=abstract

The eighth mexican school on particles and fields. AIP Conference Proceedings, Volume 490, pp. 217-253 (1999).

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Compactification And Four-Dimensional Models, Electroweak Interactions, Supersymmetry

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In these lecture notes, I will describe heterotic/type-II duality in six and four dimensions. When supersymmetry is the maximal N=4 it will be shown that the duality reduces in the field theory limit to the Montonen-Olive duality of N=4 Super Yang-Mills theory. We will consider further compactifications of type II theory on Calabi-Yau manifolds. We will understand the physical meaning of geometric conifold singularities and the dynamics of conifold transitions. When the CY manifold is a K3 fibration we will argue that the type-II ground-state is dual to the heterotic theory compactified on K3×T2. This allows an exact computation of the low effective action. Taking the field theory limit, α'-->0, we will recover the Seiberg-Witten non-perturbative solution of N=2 gauge theory.

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