Higgs bundles, branes and Langlands duality

2017/07/03 by Indranil Biswas, Biswas, Indranil, Oscar Garcı́a-Prada +3
Mathematics · Physics and Astronomy · #14P99 #32Q15 #53C07 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1707.00392

openalex publication_date 2017/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a compact Riemann surface X and a complex reductive Lie group G equipped with real structures, we define antiholomorphic involutions on the moduli space of G-Higgs bundles over X. We investigate how the various components of the fixed point locus match up, as one passes from G to its Langlands dual ^LG. Special attention is given to the case G=SL(2,\C) and ^LG=PGL(2,\C).

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