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Everything about ADHM construction

Method of constructing instanton solutions

In mathematical physics and gauge theory, the ADHM construction or monad construction is the construction of all instantons using methods of linear algebra by Michael Atiyah, Vladimir Drinfeld, Nigel Hitchin, Yuri I. Manin in their paper "Construction of Instantons." Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: ADHM constructionA 5-minute orientation
  2. Skim a recent paper: Finkelstein–Rubinstein constraints from ADHM data and rational mapsInfluential work since 2022
  3. Read the landmark paper: Sigma models and the ADHM construction of instantonsCited 107 times
  4. Go sideways: Seiberg–Witten theoryA closely related topic
  5. Go sideways: Matrix completionA closely related topic

đź“– Definitions

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🗂️ The subject at a glance

  1. ADHM data
  2. Generalizations
  3. The construction formula

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

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