Berg–Haack–Pajer (BHP) conjecture on loop corrections to the Kähler potential

Establish the Berg–Haack–Pajer conjecture that, in Calabi–Yau orientifolds, string-loop corrections to the Kähler potential take the general form proposed by BHP, which generalizes the toroidal-orientifold results for the loop-correction structure.

Background

To model moduli dynamics affecting string tensions, the authors adopt the BHP conjecture that extrapolates toroidal results for loop corrections to general Calabi–Yau orientifolds. This provides specific scaling forms for the leading Kaluza–Klein contributions to the scalar potential.

Assuming this conjecture allows them to deduce concrete time dependences for effective string tensions of wrapped branes, which then drive their gravitational-wave phenomenology.