Mirror symmetry and Exact Solution of 4D N=2 Gauge Theories I

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dc.creatorKatz, S.
dc.creatorMayr, P.
dc.creatorVafa, C.
dc.date1997-06-13
dc.date1997-06-26
dc.date.accessioned2026-07-07T11:36:04Z
dc.date.available2026-07-07T11:36:04Z
dc.descriptionUsing geometric engineering in the context of type II strings, we obtain exact solutions for the moduli space of the Coulomb branch of all N=2 gauge theories in four dimensions involving products of SU gauge groups with arbitrary number of bi-fundamental matter for chosen pairs, as well as an arbitrary number of fundamental matter for each factor. Asymptotic freedom restricts the possibilities to SU groups with bi-fundamental matter chosen according to ADE or affine ADE Dynkin diagrams. Many of the results can be derived in an elementary way using the self-mirror property of K3. We find that in certain cases the solution of the Coulomb branch for N=2 gauge theories is given in terms of a three dimensional complex manifold rather than a Riemann surface. We also study new stringy strong coupling fixed points arising from the compactification of higher dimensional theories with tensionless strings and consider applications to three dimensional N=4 theories.
dc.description62 pages, harvmac.tex (b), references added, typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/9706110
dc.identifierhttp://arxiv.org/abs/hep-th/9706110
dc.identifierAdv.Theor.Math.Phys.1:53-114,1998
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198801
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleMirror symmetry and Exact Solution of 4D N=2 Gauge Theories I
dc.typetext

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