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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 037, 27 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.037 (Mi sigma1336) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Singular Geometry and Higgs Bundles in String Theory

Lara B. Andersona, Mboyo Esoleb, Laura Fredricksonc, Laura P. Schaposnikde

a Department of Physics and Department of Mathematics, Virginia Tech, Blacksburg, VA 24061, USA
b Department of Mathematics, Northeastern University, Boston, MA 02115, USA
c Department of Mathematics, Stanford University, Stanford, CA 94305, USA
d Department of Mathematics, FU Berlin, 14195 Berlin, Germany
e Department of Mathematics, University of Illinois at Chicago, 60607 Chicago, USA
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DOI: https://doi.org/10.3842/SIGMA.2018.037
Abstract: 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.
Keywords: Higgs bundles; Hitchin fibration; mirror symmetry; F-theory; Calabi–Yau; singular curves; singularities.
Funding agency Grant number
National Science Foundation PHY-1720321
DMS-1701635
DMS-1509693
Alexander von Humboldt-Stiftung
The work of L.B. Anderson is supported in part by NSF grant PHY-1720321 and is part of the working group activities of the 4-VA initiative “A Synthesis of Two Approaches to String Phenomenology”. M. Esole is supported in part by the National Science Foundation (NSF) grant DMS-1701635 “Elliptic Fibrations and String Theory”. The work of L.P. Schaposnik is partially supported by the NSF grant DMS-1509693, and by the Alexander von Humboldt Foundation.
Received: November 22, 2017; in final form April 13, 2018; Published online April 18, 2018
Bibliographic databases:
Document Type: Article
MSC: 14D20; 14D21; 53C07; 14H70; 14P25
Language: English
Citation: Lara B. Anderson, Mboyo Esole, Laura Fredrickson, Laura P. Schaposnik, “Singular Geometry and Higgs Bundles in String Theory”, SIGMA, 14 (2018), 037, 27 pp.
Citation in format AMSBIB
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\paper Singular Geometry and Higgs Bundles in String Theory
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    • This publication is cited in the following 12 articles:
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