F-theory at order ${\alpha }^{\prime 3}$

Abstract

We study the effective physics of F-theory at order ${\alpha }^{\prime 3}$ in derivative expansion. We show that the ten-dimensional type IIB eight-derivative couplings involving the graviton and the axio-dilaton naturally descend from pure gravity in twelve dimensions. Upon compactification on elliptically fibered Calabi-Yau fourfolds, the non-trivial vacuum profile for the axio-dilaton leads to a new, genuinely N=1, ${\alpha }^{\prime 3}$ correction to the four-dimensional effective action.

24 pages, minor improvements, typos corrected

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