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F-theory, Geometric Engineering and N=1 Dualities
M. Bershadsky, A. Johansen, T. Pantev +2
We consider geometric engineering of N=1 supersymmetric QFTs with matter in terms of a local model for compactification of F-theory on Calabi-Yau fourfold. By bringing 3-branes nea…
Geometric Engineering of N=1 Quantum Field Theories
Sheldon Katz, Cumrun Vafa
We construct local geometric model in terms of F- and M-theory compactification on Calabi-Yau fourfolds which lead to N=1 Yang-Mills theory in d=4 and its reduction on a circle to…
U-Manifolds
Alok Kumar, Cumrun Vafa
We use non-perturbative U-duality symmetries of type II strings to construct new vacuum solutions. In some ways this generalizes the F-theory vacuum constructions. We find the poss…
Geometric Engineering of Quantum Field Theories
Sheldon Katz, Albrecht Klemm, Cumrun Vafa
Using the recent advances in our understanding of non-perturbative aspects of type II strings we show how non-trivial exact results for quantum field theories can be reduced…
A Geometric Realization of Confinement
Brian R. Greene, David R. Morrison, Cumrun Vafa
We study the geometric realization of the Higgs phenomenon in type II string compactifications on Calabi--Yau manifolds. The string description is most directly phrased in terms of…
Summing up D-Instantons
Hirosi Ooguri, Cumrun Vafa
We investigate quantum corrections to the moduli space for hypermultiplets for type IIA near a conifold singularity. We find a unique quantum deformation based on symmetry argument…