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.

Highlights

  • √ CY threefold X3 of Euler number χ(X3) and classical volume V3 in units of 2π α′, this has the general form

  • Germany E-mail: ruben.minasian@cea.fr, pught@mpp.mpg.de, raffaele.savelli@gmail.com Abstract: We study the effective physics of F-theory at order α′ 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

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Summary

Type IIB couplings from twelve dimensions

One is used to thinking of F-theory either as type IIB string theory in non-trivial axiodilaton backgrounds or as a certain decompactification limit of M-theory on elliptically fibered manifolds. We will explore this duality in order to derive the 10d eight-derivative couplings of type IIB, involving Riemann tensors and derivatives of the axio-dilaton

Preliminaries
Eight-derivative couplings of gravity and axio-dilaton
A Conventions
B Higher-derivative actions
Intermediate results

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