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2018

Matter Field Kahler Metric in Heterotic String Theory from Localisation

Blesneag, Stefan, Buchbinder, Evgeny I., Constantin, Andrei et al.

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We propose an analytic method to calculate the matter field K\"ahler metric in heterotic compactifications on smooth Calabi-Yau three-folds with Abelian internal gauge fields.

The matter field K\"ahler metric determines the normalisations of the ${\cal N}=1$ chiral superfields, which enter the computation of the physical Yukawa couplings.
We first derive the general formula for this K\"ahler metric by a dimensional reduction of the relevant supergravity theory and find that its T-moduli dependence can be determined in general.
It turns out that, due to large internal gauge flux, the remaining integrals localise around certain points on the compactification manifold and can, hence, be calculated approximately without precise knowledge of the Ricci-flat Calabi-Yau metric.

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