F-Theory, T-Duality on K3 Surfaces and N=2 Supersymmetric Gauge Theories in Four Dimensions

Abstract

We construct T-duality on K3 surfaces. The T-duality exchanges a 4-brane R-R charge and a 0-brane R-R charge. We study the action of the T-duality on the moduli space of 0-branes located at points of K3 and 4-branes wrapping it. We apply the construction to F-theory compactified on a Calabi-Yau 4-fold and study the duality of N=2 SU(N_c) gauge theories in four dimensions. We discuss the generalization to the N=1 duality scenario.

13 pages, latex

References in corpus (4)

• Branes and N=1 Duality in String Theory
• Geometry of N=1 Dualities in Four Dimensions
• F-theory, Geometric Engineering and N=1 Dualities
• N=1 Dualities of SO and USp Gauge Theories and T-Duality of String Theory

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• Geometry of N=1 Dualities in Four Dimensions
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• On the Matrix Description of Calabi-Yau Compactifications
• Branes, U-folds and hyperelliptic fibrations
• Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields
• D-particles on T^4/Z_n orbifolds and their resolutions
• Twisted Bundles on Noncommutative $T^4$ and D-brane Bound States
• Topological T-duality for torus bundles with monodromy
• Instantons and Non-Perturbative Dynamics of N=2 Supersymmetric Abelian Gauge Theories in Two Dimensions
• On N=2 Seiberg Duality for Quiver Theories
• Stability Conditions and Mirror Symmetry of K3 Surfaces in Attractor Backgrounds
• The Principle of Equivalence as a Guide towards Matrix Theory Compactifications
• K-theory and phase transitions at high energies