String-Theoretic Embedding of the SV0 Dark Energy Model: Supergravity Moduli and the Swampland

The Signed-Volume (SV0) dark energy model has been extensively developed as an effective field theory (EFT) capable of producing a structurally guaranteed phantom crossing. In this paper, we elevate the SV0 framework to a top-down fundamental theory by embedding it within N=1 Supergravity and String Theory compactifications. We demonstrate that the constraint χ² + ψ² = V₀ and the non-minimal coupling ξ R (χ² - ψ²) arise naturally from the Kähler potential of a complex modulus field T = χ + iψ, when α' corrections are included. Furthermore, we show that the logarithmic no-scale structure of string moduli dynamically generates the required H² scaling in the tracker regime. Finally, we test the SV0 model against the Swampland conjectures (de Sitter and Distance conjectures) and find that it evades the strict de Sitter bound by dynamically crossing into the phantom regime. This establishes SV0 as a well-motivated low-energy limit of string theory. References:[1] M. U. Sandaruwan, "Structurally Guaranteed Phantom Crossing in a Signed-Volume Effective Fluid..." (2026). Zenodo: https://doi.org/10.5281/zenodo.24026844[2] M. U. Sandaruwan, "Microphysical Origin of the Algebraic Phantom Crossing..." (2026). Zenodo: https://doi.org/10.5281/zenodo.24032977[3] M. U. Sandaruwan, "Covariant Formulation of the Signed-Volume Effective Fluid..." (2026). Zenodo: https://doi.org/10.5281/zenodo.24033838[4] M. U. Sandaruwan, "Gauge-Invariant Cosmological Perturbations in the SV0 Dark Energy Model..." (2026). Zenodo: https://doi.org/10.5281/zenodo.24034927[5] M. U. Sandaruwan, "Dynamical Systems Analysis of the Signed-Volume Dark Energy Model..." (2026). Zenodo: https://doi.org/10.5281/zenodo.24035268[6] M. U. Sandaruwan, "Fisher Matrix Forecasts for the SV0 Dark Energy Model..." (2026). Zenodo: https://doi.org/10.5281/zenodo.24035911[7] M. U. Sandaruwan, "A K-essence Realization of the SV0 Dark Energy Model..." (2026). Zenodo: https://doi.org/10.5281/zenodo.24038624