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We derive together the exact local, covariant, continuous and off-shellnilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetrytransformations for the U(1) gauge field (A_\mu), the (anti-)ghost fields((\bar C)C) and the Dirac fields (\psi, \bar\psi) of the Lagrangian density ofa four (3 + 1)-dimensional QED by exploiting a single restriction on the six(4, 2)-dimensional supermanifold. A set of four even spacetime coordinatesx^\mu (\mu = 0, 1, 2, 3) and two odd Grassmannian variables \theta and\bar\theta parametrize this six dimensional supermanifold. The new gaugeinvariant restriction on the above supermanifold owes its origin to the (super)covariant derivatives and their intimate relations with the (super) 2-formcurvatures (\tilde F^{(2)})F^{(2)} constructed with the help of (super) 1-formgauge connections (\tilde A^{(1)})A^{(1)} and (super) exterior derivatives(\tilde d)d. The results obtained separately by exploiting (i) thehorizontality condition, and (ii) one of its consistent extensions, are shownto be a simple consequence of this new single restriction on the abovesupermanifold. Thus, our present endeavour provides an alternative to (and, insome sense, generalization of) the horizontality condition of the usualsuperfield formalism applied to the derivation of BRST symmetries.Comment: LaTeX file, 15 pages, journal-versio

Superfield approach to nilpotent symmetries for QED from a single restriction: an alternative to the horizontality condition