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We derive the off-shell nilpotent (fermionic) (anti-)BRST symmetrytransformations by exploiting the (anti-)chiral superfield approach (ACSA) toBecchi-Rouet-Stora-Tyutin (BRST) formalism for the interacting Abelian 1-formgauge theories where there is a coupling between the U(1) Abelian 1-form gaugefield and Dirac as well as complex scalar fields. We exploit the (anti-)BRSTinvariant restrictions on the (anti-)chiral superfields to derive the fermionicsymmetries of our present D-dimensional Abelian 1-form gauge theories. Thenovel observation of our present investigation is the derivation of theabsolute anticommutativity of the nilpotent (anti-)BRST charges despite thefact that our ordinary D-dimensional theories are generalized onto the (D,1)-dimensional (anti-)chiral super submanifolds (of the general (D,2)-dimensional supermanifold) where only the (anti-)chiral expansions of the(anti-)chiral superfields have been taken into account. We also discuss thenilpotency of the (anti-)BRST charges and (anti-)BRST invariance of theLagrangian densities of our present theories within the framework of ACSA toBRST formalism.

(Anti-)Chiral Superfield Approach to Interacting Abelian 1-Form Gauge Theories: Nilpotent and Absolutely Anticommuting Charges