Work

Mirror symmetry and exact solution of 4D $N = 2$ gauge theories: I

Year: 1997

Type: article

Abstract: Using 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 an arbitrary amount of bi-fundamental matter for chosen pairs, as well as an arbitrary amount 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 KS.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.

Source: Advances in Theoretical and Mathematical Physics

DOI: 10.4310/atmp.1997.v1.n1.a2

Authors: Sheldon Katz, Peter Mayr, Cumrun Vafa

Institutions: Oklahoma State University, Institute for Advanced Study, Harvard University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funder: National Science Foundation

Awards: Theoretical Physics, Mathematical Sciences: Intersection Theory, Mirror Symmetry and Computer Algebra, Interactions of Particles and Fields