1995/12/19 by I. T. Ivanov, Ivan T. Ivanov, M. Roček +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Interpretation (philosophy) #Legendre polynomials #Legendre transformation #Metric (unit) #Moduli space #Quantum Mechanics and Non-Hermitian Physics #Twistor space #Twistor theory #dg-ga #hep-th #math.DG
paper · pdf · doi:10.1007/bf02517891
published as Commun.Math.Phys. 182 (1996) 291-302 · ams-latex, 17 pages, 1 figure, ps-version with blackboard bold fonts available at http://www.physics.sunysb.edu/~iti/papers/new/index.html, in the corrected version non-essential typos in three formulas are removed
arxiv created 1995/12/19 · openalex publication_date 1996/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Legendre transform and its generalizations, originally found in supersymmetric sigma-models, are techniques that can be used to give constructions of hyperkahler metrics. We give a twistor space interpretation to the generalizations of the Legendre transform construction. The Atiyah-Hitchin metric on the moduli space of two monopoles is used as a detailed example.