  We investigate the possibility of inflation with models of antisymmetric
tensor field having minimal and nonminimal couplings to gravity. Although the
minimal model does not support inflation, the nonminimal models, through the
introduction of a nonminimal coupling to gravity, can give rise to stable
de-Sitter solutions with a bound on the coupling parameters. The values of
field and coupling parameters are sub-planckian. Slow roll analysis is
performed and slow-roll parameters are defined which can give the required
number of e-folds for sufficient inflation. Stability analysis has been
performed for perturbations to antisymmetric field while keeping the metric
unperturbed, and it is found that only the sub-horizon modes are free of ghost
instability for de-Sitter space.

General Relativity and Quantum Cosmology;Cosmology and Nongalactic Astrophysics;High Energy Physics - Phenomenology;High Energy Physics - Theory