We propose a form of the effective action of the tachyon and gauge fields f
or brane-antibrane systems and non-BPS Dp-branes, written in terms of the s
upercurvature. Kink and vortex solutions with constant infinite gauge field
strength reproduce the exact tensions of the lower-dimensional D-branes. W
e discuss the relation to BSFT and other models in the literature. (C) 2001
Published by Elsevier Science B.V.