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Fayet–Iliopoulos D-term : ウィキペディア英語版
Fayet–Iliopoulos D-term

In theoretical physics, the Fayet–Iliopoulos D-term (introduced by Pierre Fayet and John Iliopoulos) is a D-term in a supersymmetric theory obtained from a vector superfield ''V'' simply by an integral over all of superspace:
: S_ = \xi \int d^4\theta \, V
Because a natural trace must be a part of the expression, the action only exists for U(1) vector superfields.
In terms of the components, it is proportional simply to the last auxiliary D-term of the superfield ''V''. It means that the corresponding ''D'' that appears in D-flatness conditions (and whose square enters the ordinary potential) is additively shifted by \xi, the coefficient.
==References==

* P. Fayet, J. Iliopoulos, ''(Spontaneously Broken Supergauge Symmetries And Goldstone Spinors. )'', Phys.Lett.B51:461-464,1974. (Entry in SPIRES)


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