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In this work we derive non-singular BPS string solutions from an action thatcaptures the essential features of a D-brane-anti-D-brane system compactifiedto four dimensions. The model we consider is a supersymmetric abelian Higgsmodel with a D-term potential coupled to an axion-dilaton multiplet. Thestrings in question are axionic D-term strings which we identify with theD-strings of type II string theory. In this picture the Higgs field representsthe open string tachyon of the D-Dbar pair and the axion is dual to a RamondRamond form. The crucial term allowing the existence of non-singular BPSstrings is the Fayet-Iliopoulos term, which is related to the tensions of theD-string and of the parent branes. Despite the presence of the axion, thestrings are BPS and carry finite energy, due to the fact that the space getsvery slowly decompactified away from the core, screening the long range axionfield (or equivalently the theory approaches an infinitely weak 4D coupling).Within our 4D effective action we also identify another class of BPS stringsolutions (s-strings) which have no ten dimensional analog, and can only existafter compactification.Comment: 26 pages, 4 figures; v2 Refs. added; v3 minor changes, version to  appear in PR

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

Cosmic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math>-strings as axionic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math>-term strings

CosmicD-strings as axionicD-term strings