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We construct the minimal off-shell formulation of N = 1 chiral supergravity(SUGRA) introducing a complex antisymmetric tensor field $B_{\mu \nu}$ and acomplex axial-vector field $A_{\mu}$ as auxiliary fields. The resulting algebraof the right- and left-handed supersymmetry (SUSY) transformations closes offshell and generates chiral gauge transforamtions and vector gaugetransformations in addition to the transformations which appear in the casewithout auxiliary fields.Comment: 9 pages, late

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

Minimal off-shell version of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mn /></mml:math>chiral supergravity

Minimal off-shell version ofN=1chiral supergravity