Geometric engineering of quantum field theories
Abstract
Using the recent advances in our understanding of non-perturbative aspects of type 11 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 11 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.
- Publication:
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Nuclear Physics B
- Pub Date:
- February 1997
- DOI:
- 10.1016/S0550-3213(97)00282-4
- arXiv:
- arXiv:hep-th/9609239
- Bibcode:
- 1997NuPhB.497..173K
- Keywords:
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- High Energy Physics - Theory;
- Mathematics - Algebraic Geometry
- E-Print:
- 30 pages, minor corrections