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We extend the results of hep-th/0310137 to show that a general classicalaction for D=2, N=2 sigma models on a non(anti)commutative superspace is notstandard and contains infinite number of terms, which depend on the determinantof the non(anti)commutativity parameter, C^{\alpha\beta}. We show that usingKahler normal coordinates the action can be written in a manifestly covariantmanner. We introduce vector multiplets and obtain the N=1/2 supersymmetrytransformations of the theory in the Wess-Zumino gauge. By explicitly derivingthe expressions for vector and twisted superfields on non(anti)commutativesuperspace, we study the classical aspects of Gauged linear sigma models.Comment: 38 pages, Latex; v3: Minor changes in the text, correction in eqns.  (2.22) and (4.8), added references, version to appear in Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math>supersymmetric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math>models on non(anti)commutative superspace

D=2,N=2supersymmetricσmodels on non(anti)commutative superspace