It has been argued that keeping LVS de Sitter constructions under control requires a negative D3-tadpole exceeding known Calabi-Yau bounds.

It has been argued that keeping LVS de Sitter constructions under control requires a negative D3-tadpole exceeding known Calabi-Yau bounds.

Why it is stated this way

This is the sharpest quantitative form of the LVS control objection: rather than disputing the scheme in principle, it derives a numerical requirement and compares it with what the known geometries supply.

Scope and limitations

A parametric constraint against currently known Calabi-Yau bounds is not a no-go theorem. The bound is on what has been catalogued, and the argument is contested by LVS proponents.

Sources

• The LVS Parametric Tadpole Constraint ↗ · Gao, Hebecker, Schreyer, Venken · arXiv:2202.04087 · JHEP 07 (2022) 056
• LVS de Sitter Vacua are probably in the Swampland ↗ · Junghans · arXiv:2201.03572

Related atlas concepts

Large Volume ScenarioCompactificationModuli