Abstract
By compactifying the four-dimensional Euclidean space into S2 × S2 manifold and introducing two topological relevant Wess–Zumino terms to Hn ≡ SL(n,c)/SU(n) nonlinear sigma model, we construct a Lagrangian form for SU(n) self-dual Yang–Mills field, from which the self-dual equations follow as the Euler–Lagrange equations.
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