A compactification of the moduli space of principal Higgs bundles over singular curves

Giudice, Alessio Lo; Pustetto, Andrea

doi:10.48550/arxiv.1110.0632

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Singular Principal G C -Higgs Bundles1

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2018

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“…Through the work of [163], it was shown in [95] that one can treat a principal G C -Higgs bundle over a nodal curve X as a particular type of vector bundle on the normalization of the curve called a descending bundle, objects which are in one-to-one correspondence with the following singular principal G C -Higgs bundles. Definition 4.1.…”

Section: Singular Principal G C -Higgs Bundlesmentioning

confidence: 99%

Singular Geometry and Higgs Bundles in String Theory

Anderson¹,

Esole²,

Fredrickson³

et al. 2018

SIGMA

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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.

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Section: Singular Principal G C -Higgs Bundlesmentioning

confidence: 99%