T-branes at the limits of geometry

  • Lara B. Anderson
  • Jonathan J. Heckman
  • Sheldon Katz
  • Laura P. Schaposnik
Open Access
Regular Article - Theoretical Physics

Abstract

Singular limits of 6D F-theory compactifications are often captured by T-branes, namely a non-abelian configuration of intersecting 7-branes with a nilpotent matrix of normal deformations. The long distance approximation of such 7-branes is a Hitchin-like system in which simple and irregular poles emerge at marked points of the geometry. When multiple matter fields localize at the same point in the geometry, the associated Higgs field can exhibit irregular behavior, namely poles of order greater than one. This provides a geometric mechanism to engineer wild Higgs bundles. Physical constraints such as anomaly cancellation and consistent coupling to gravity also limit the order of such poles. Using this geometric formulation, we unify seemingly different wild Hitchin systems in a single framework in which orders of poles become adjustable parameters dictated by tuning gauge singlet moduli of the F-theory model.

Keywords

F-Theory Differential and Algebraic Geometry Superstring Vacua 

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Copyright information

© The Author(s) 2017

Authors and Affiliations

  • Lara B. Anderson
    • 1
  • Jonathan J. Heckman
    • 2
  • Sheldon Katz
    • 3
  • Laura P. Schaposnik
    • 4
  1. 1.Physics DepartmentRobeson Hall, Virginia TechBlacksburgU.S.A.
  2. 2.Department of PhysicsUniversity of North CarolinaChapel HillU.S.A.
  3. 3.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaU.S.A.
  4. 4.Department of MathematicsUniversity of Illinois at ChicagoChicagoU.S.A.

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