Chiral superfield

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In theoretical physics, one often analyzes theories with supersymmetry in which chiral superfields play an important role. In four dimensions, the minimal N=1 supersymmetry may be written using the notion of superspace. Superspace contains the usual space-time coordinates x^μ, , and four extra fermionic coordinates , transforming as a two-component (Weyl) spinor and its conjugate.

Every superfield, i.e. a field that depends on all coordinates of the superspace, may be expanded with respect to the fermionic coordinates. There exists a special kind of superfields, the so-called chiral superfields, that, in the chiral representation of supersymmetry, depend only on the variables θ but not their conjugates. See also F-terms.