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arXiv · hep-th/9609239

Geometric Engineering of Quantum Field Theories

Sheldon Katz·Albrecht Klemm·Cumrun Vafa
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Abstract

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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Sheldon Katz, Albrecht Klemm, Cumrun Vafa. 1996-10-08. Geometric Engineering of Quantum Field Theories. https://doi.org/10.1016/s0550-3213(97)00282-4

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