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Higgs bundle
In mathematics, a Higgs bundle is a pair (E,φ) consisting of a holomorphic vector bundle ''E'' and a Higgs field φ, a holomorphic 1-form taking values in End(''E'') such that φ ∧ φ = 0.
Such pairs were introduced by , who named the field φ after Peter Higgs because of an analogy with Higgs bosons. The term 'Higgs bundle', and the condition φ ∧ φ = 0 (which is vacuous in Hitchin's original set-up on Riemann surfaces) was introduced later by Simpson.
==See also==
*Hitchin system
*Simpson correspondence
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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