Singular Geometry and Higgs Bundles in String Theory

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 du...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2018
Main Authors: Anderson, L.B., Esole, M., Fredrickson, L., Schaposnik, L.P.
Format: Article
Language:English
Published: Інститут математики НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209535
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Singular Geometry and Higgs Bundles in String Theory / L.B. Anderson, M. Esole, L. Fredrickson, L.P. Schaposnik // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 180 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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 the 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.
ISSN:1815-0659