T-branes at the limits of geometry

Lara B. Anderson, Jonathan J. Heckman, Sheldon Katz, Laura P. Schaposnik

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Article number58
JournalJournal of High Energy Physics
Volume2017
Issue number10
DOIs
StatePublished - Oct 1 2017

Keywords

  • Differential and Algebraic Geometry
  • F-Theory
  • Superstring Vacua

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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