The energy and stability of D-term strings

Abstract

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.

18 pages. v2: minor changes and references added

References in corpus (4)

• D-branes on general N=1 backgrounds: superpotentials and D-terms
• D-term cosmic strings from N=2 Supergravity
• The non-zero energy of 2+1 Minkowski space
• A note on the stability of axionic D-term strings

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