Singular Geometry and Higgs Bundles in String Theory

Symmetry Integrability and Geometry-Methods and Applications

article

Lara B. Anderson¹  Mboyo Esole²  Laura Fredrickson³  Laura P. Schaposnik⁴ 

[1] Department of Physics and Department of Mathematics;Department of Mathematics, Northeastern University;Department of Mathematics, Stanford University;Department of Mathematics, University of Illinois at Chicago

关键词: Higgs bundles;    Hitchin fibration;    mirror symmetry;    F-theory;    Calabi–Yau;    singular curves;    singularities;   

DOI  :  10.3842/SIGMA.2018.037

来源: National Academy of Science of Ukraine

【 摘 要 】

This brief survey aims to set the stage and summarize some of the ideas under discussion at the Workshop on Singular Geometry and Higgs Bundles in String Theory , to be held at the American Institute of Mathematics from October 30th to November 3rd, 2017. One of the most interesting aspects of the duality revolution in string theory is the understanding that gauge fields and matter representations can be described by intersection of branes. Since gauge theory is at the heart of our description of physical interactions, it has opened the door to the geometric engineering of many physical systems, and in particular those involving Higgs bundles. This note presents a curated overview of some current advances and open problems in the area, with no intention of being a complete review of the whole subject.

【 授权许可】

Unknown