Heterotic/Type-II duality and its field theory avatars
- Theory Division, CERN CH-1211, Geneva 23 (Switzerland)
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 K3xT{sup 2}. This allows an exact computation of the low effective action. Taking the field theory limit, {alpha}{sup '}{yields}0, we will recover the Seiberg-Witten non-perturbative solution of N=2 gauge theory.
- OSTI ID:
- 21210258
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 490; ISSN 0094-243X; ISSN APCPCS
- Country of Publication:
- United States
- Language:
- English
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ACTION INTEGRAL
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CP INVARIANCE
DUALITY
GAUGE INVARIANCE
GROUND STATES
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MANIFOLDS
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SINGULARITY
STRING MODELS
STRING THEORY
SUPERSYMMETRY
YANG-MILLS THEORY