F-theory at order $\alpha'^3$

TL;DR

This paper investigates the effects of order '^3 in F-theory, revealing how ten-dimensional couplings emerge from twelve-dimensional gravity and deriving new '^3 corrections in four-dimensional effective actions after compactification.

Contribution

It demonstrates the origin of ten-dimensional couplings from twelve-dimensional gravity and derives novel '^3 corrections in four-dimensional F-theory compactifications.

Findings

Ten-dimensional couplings descend from twelve-dimensional gravity.

New '^3 corrections are identified in 4D effective action.

Axio-dilaton vacuum profile influences the correction structure.

Abstract

We study the effective physics of F-theory at order $\alpha'^3$ 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, $\alpha'^3$ correction to the four-dimensional effective action.