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We examine the consequences of recent developments on Fayet-Iliopoulos (FI)terms for D-term inflationary models. There is currently no known way to coupleconstant FI terms to supergravity consistently; only field-dependent FI termsare allowed. These are natural in string theory and we argue that the FI termin D3/D7 inflation turns out to be of this type, corresponding to apseudo-anomalous U(1). T he anomaly is canceled by the Green-Schwarz mechanismin 4 dimensions. Inflation proceeds as usual, except that the scale is set bythe GS parameter. Cosmic strings resulting from a pseudo-anomalous U(1) havepotentially interesting characteristics. Originally expected to be global, theyturn out to be local in the string theory context and can support currents. Weoutline the nature of these strings, discuss bounds on their formation, andsummarize resulting cosmological consequences.

Cosmic strings from pseudo-anomalous Fayet-Iliopoulos U(1) in D3/D7 brane inflation