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arxiv: hep-th/9609239 · v2 · submitted 1996-09-30 · ✦ hep-th · math.AG

Geometric Engineering of Quantum Field Theories

Sheldon Katz , Albrecht Klemm , Cumrun Vafa This is my paper
classification ✦ hep-th math.AG
keywords fieldquantumtheoriesgeometriclocalnon-trivialresultsstrings
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Using the recent advances in our understanding of non-perturbative aspects of type II strings we show how non-trivial exact results for $N=2$ quantum field theories can be reduced to T-dualities of string theory. This is done by constructing a local geometric realization of quantum field theories together with a local application of mirror symmetry. This construction is not based on any duality conjecture and thus reduces non-trivial quantum field theory results to much better understood T-dualities of type II strings. Moreover it can be used in principle to construct in a systematic way the vacuum structure for arbitrary $N=2$ gauge theories with matter representations.

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