Communications in Mathematical Physics

, Volume 336, Issue 3, pp 1231–1257 | Cite as

Non-Abelian Gauge Symmetry and the Higgs Mechanism in F-Theory

  • Antonella Grassi
  • James Halverson
  • Julius L. Shaneson
Article
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Abstract

Singular fiber resolution does not describe the spontaneous breaking of gauge symmetry in F-theory, as the corresponding branch of the moduli space does not exist in the theory. Accordingly, even non-abelian gauge theories have not been fully understood in global F-theory compactifications. We present a systematic discussion of using singularity deformation, which does describe the spontaneous breaking of gauge symmetry in F-theory, to study non-abelian gauge symmetry. Since this branch of the moduli space also exists in the defining M-theory compactification, it provides the only known description of gauge theory states that exists in both pictures; they are string junctions in F-theory. We discuss how global deformations give rise to local deformations, and also give examples where local deformation can be utilized even in models where a global deformation does not exist. Utilizing deformations, we study a number of new examples, including non-perturbative descriptions of SU(3) and SU(2) gauge theories on seven-branes which do not admit a weakly coupled type IIb description. It may be of phenomenological interest that these non-perturbative descriptions do not exist for higher rank SU(N) theories.

Keywords

Gauge Theory Modulus Space Gauge Symmetry Coulomb Branch Chiral Multiplet 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Antonella Grassi
    • 1
  • James Halverson
    • 2
  • Julius L. Shaneson
    • 1
  1. 1.Department of MathematicsUniversity of PennsylvaniaPhiladelphiaUSA
  2. 2.Kavli Institute for Theoretical PhysicsUniversity of CaliforniaSanta BarbaraUSA

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