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In theoretical physics, the Fayet–Iliopoulos D-term is a D-term in a supersymmetric theory obtained from a vector superfield V simply by an integral over all of superspace:
Because a natural trace must be a part of the expression, the action only exists for U 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 is additively shifted by ξ {\displaystyle \xi } , the coefficient.
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