TY - JOUR

T1 - T-branes at the limits of geometry

AU - Anderson, Lara B.

AU - Heckman, Jonathan J.

AU - Katz, Sheldon

AU - Schaposnik, Laura P.

N1 - Funding Information:
We thank P. Boalch, S. Gukov, R. Donagi, J. Hurtubise, D.R. Morrison, S. Rayan, and W. Taylor for helpful discussions. JJH thanks the 2015 Simons Center Summer Workshop on Geometry and Physics for kind hospitality during part of this work. SK thanks UNC Chapel Hill and the organizers of the Spring 2015 southeast conference on string theory for kind hospitality during the completion of part of this work. LBA, JJH, SK and LPS thank the organizers of the 2015 FRG workshop at Harvard for providing a stimulating atmosphere for collaboration. The work of LBA is supported by NSF grant PHY-1417337 and is a part of the working group activities of the 4-VA initiative “A Synthesis of Two Approaches to String Phenomenology.” The work of JJH is supported by NSF CAREER grant PHY-1452037. JJH also acknowledges support from the Bahnson Fund at UNC Chapel Hill. The work of SK was supported by NSF grants DMS-1201089 and DMS-1502170. The work of LPS is supported by NSF grant DMS 1509693, and she would like to thank the hospitality of IMPA, Brazil, and the support of the GEAR Network through NSF grants DMS 1107452, 1107263, 1107367.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - 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.

AB - 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.

KW - Differential and Algebraic Geometry

KW - F-Theory

KW - Superstring Vacua

UR - http://www.scopus.com/inward/record.url?scp=85031407667&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85031407667&partnerID=8YFLogxK

U2 - 10.1007/JHEP10(2017)058

DO - 10.1007/JHEP10(2017)058

M3 - Article

AN - SCOPUS:85031407667

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 10

M1 - 58

ER -