https://doi.org/10.1140/epjc/s10052-023-12059-9
Letter
Fayet–Iliopoulos D-term in non-supersymmetric heterotic string orbifolds
1
Department of Mathematical Sciences, University of Liverpool, L69 7ZL, Liverpool, UK
2
Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland
b
alon.faraggi@liverpool.ac.uk
Received:
17
March
2023
Accepted:
22
September
2023
Published online:
13
October
2023
The Fayet–Iliopoulos D-term is a common feature in 
string vacua that contain an anomalous U(1) gauge symmetry, and arises from a one-loop diagram in string perturbation theory. The same diagram is generated in string vacua in which supersymmetry is broken directly at the string scale, either via spontaneous Scherk–Schwarz breaking, in which case the gravitino mass is determined by the radius of the circle used in the Scherk–Schwarz mechanism, or via explicit supersymmetry breaking by the GSO projections. We analyse the resulting would-be Fayet–Illiopoulos D-term in the non-supersymmetric string vacua and its contribution to the vacuum energy. A numerical estimate in an explicit tachyon-free string-derived model suggests that the would-be D-term contribution may uplift the vacuum energy to a positive value.
© The Author(s) 2023
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