Geometric Engineering of Quantum Field Theories

Details Geometric Engineering of Quantum Field Theories Geometric Engineering of Quantum Field Theories

1996-09-30

arxiv.org/abs/hep-th/9609239v2

Nucl.Phys. B497 (1997) 173-195

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, minor corrections

Scientific paper

10.1016/S0550-3213(97)00282-4

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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