Local cosmic strings from Pseudo-anomalous U(1)

Local cosmic strings solutions are introduced in a model with a pseudo-anomalous U(1) gauge symmetry. Such a symmetry is present in many superstring compactification models. The coupling of those strings with the axion necessary in order to cancel the anomalies does not prevent them from being local, even though their energy per unit length is found to diverge logarithmically. We discuss briefly the formation of such strings and the phenomenological constraints that apply to their parameters.