The energy and stability of D-term strings

Details The energy and stability of D-term strings The energy and stability of D-term strings

2006-11-09

arxiv.org/abs/hep-th/0611111v2

JHEP 0702:060,2007

Physics

High Energy Physics

High Energy Physics - Theory

18 pages. v2: minor changes and references added

Scientific paper

10.1088/1126-6708/2007/02/060

Cosmic strings derived from string theory, supergravity or any theory of choice should be stable if we hope to observe them. In this paper we consider D-term strings in D=4, N=1 supergravity with a constant Fayet-Iliopoulos term. We show that the positive deficit angle supersymmetric D-term string is non-perturbatively stable by using standard Witten-Nester techniques to prove a positive energy theorem. Particular attention is paid to the negative deficit angle D-term string, which is known to violate the dominant energy condition. Within the class of string solutions we consider, this violation implies that the negative deficit angle D-term string must have a naked pathology and therefore the positive energy theorem we prove does not apply to it. As an interesting aside, we show that the Witten-Nester charge calculates the total gravitational energy of the D-term string without the need for a cut-off, which may not have been expected.

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