Premium
Geometric Construction of N = 2 Gauge Theories
Author(s) -
Mayr P.
Publication year - 1999
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/(sici)1521-3978(199901)47:1/3<39::aid-prop39>3.0.co;2-e
Subject(s) - theoretical physics , gauge theory , introduction to gauge theory , physics , realization (probability) , gauge symmetry , supersymmetric gauge theory , string (physics) , quantum field theory , gauge (firearms) , symmetry (geometry) , quantum gravity , string theory , mathematical physics , quantum , quantum mechanics , mathematics , geometry , archaeology , history , statistics
In this lecture we give a brief, elementary introduction to the natural realization of non‐perturbative N = 2 quantum field theories as a low energy limit of classical string theory. We review the systematic construction of six, five, and four dimensional gauge theories using geometrical data, which provides also the exact, non‐perturbative solution via mirror symmetry. This construction has lead to the exact solution of a large class of gravity free gauge theories, including Super Yang Mills (SYM) theories as well as non‐conventional quantum field theories without a known Lagrangian description.