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Hitchin functional : ウィキペディア英語版
Hitchin functional
The Hitchin functional is a mathematical concept with applications in string theory that was introduced by the British mathematician Nigel Hitchin. and are the original articles of the Hitchin functional.
As with Hitchin's introduction of generalized complex manifolds, this is an example of a mathematical tool found useful in mathematical physics.
== Formal definition ==
This is the definition for 6-manifolds. The definition in Hitchin's article is more general, but more abstract.〔For explicitness, the definition of ''Hitchin functional'' is written before some explanations.〕
Let M be a compact, oriented 6-manifold with trivial canonical bundle. Then the Hitchin functional is a functional on 3-forms defined by the formula:
: \Phi(\Omega) = \int_M \Omega \wedge
* \Omega,
where \Omega is a 3-form and
* denotes the Hodge star operator.

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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