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<p>We find new estimates and a new asymptotic decoupling phenomenon for solutions to Hitchin’s self-duality equations at high energy. These generalize previous results for generically regular semisimple Higgs bundles to arbitrary Higgs bundles. We apply our estimates to the Hitchin WKB problem and to high energy harmonic maps to symmetric spaces and buildings.</p>

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Local asymptotics for Hitchin’s equations and high energy harmonic maps

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • Nathaniel Sagman,
  • Peter Smillie

摘要

We find new estimates and a new asymptotic decoupling phenomenon for solutions to Hitchin’s self-duality equations at high energy. These generalize previous results for generically regular semisimple Higgs bundles to arbitrary Higgs bundles. We apply our estimates to the Hitchin WKB problem and to high energy harmonic maps to symmetric spaces and buildings.