In
theoretical physics, the Fayet–Iliopoulos D-term (introduced by Pierre Fayet and
John Iliopoulos
John (Jean) Iliopoulos (Greek: Ιωάννης Ηλιόπουλος; 1940, Kalamata, Greece) is a Greek physicist. He is the first person to present the Standard Model of particle physics in a single report. He is best known for his prediction of ...
) is a
D-term in a
supersymmetric
In a supersymmetric theory the equations for force and the equations for matter are identical. In theoretical and mathematical physics, any theory with this property has the principle of supersymmetry (SUSY). Dozens of supersymmetric theories ...
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(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
, the coefficient.
References
*
Supersymmetric quantum field theory
{{quantum-stub