Abstract
We study the consistency of large-field inflation in low-energy effective field theories of string theory. In particular, we focus on the stability of Kähler moduli in the particularly interesting case where the non-perturbative superpotential of the Kähler sector explicitly depends on the inflaton field. This situation arises generically due to one-loop corrections to the instanton action. The field dependence of the modulus potential feeds back into the inflationary dynamics, potentially impairing slow roll. We distinguish between world-sheet instantons from Euclidean D-branes, which typically yield polynomial one-loop Pfaffians, and gaugino condensates, which can yield exponential or periodic corrections. In all scenarios successful slow-roll inflation imposes bounds on the magnitude of the one-loop correction, corresponding to constraints on possible compactifications. While we put a certain emphasis on Type IIB constructions with mobile D7-branes, our results seem to apply more generally.
Highlights
Cosmic inflation is the leading paradigm to explain the anisotropies of the Cosmic Microwave Background (CMB) radiation
The moduli are Euclidean D3 (ED3)- and D7-brane moduli in this setup, and here we focus on the D7-brane moduli
We work under the assumption that there is a separation of scales such that some moduli have already been stabilized and integrated out at some higher scale. We treat those as effective constants and minimize the potential in terms of the lightest moduli that remain as dynamical parameters
Summary
Cosmic inflation is the leading paradigm to explain the anisotropies of the Cosmic Microwave Background (CMB) radiation. In heterotic string/M-Theory and its F-Theory lift, couplings like the ones of (1) can arise, for example, from world-sheet instantons In this case is a bundle or complex structure modulus, α is given in terms of the Gromov–Witten invariants of the corresponding cycle and μ and W 0 depend on the expectation values of other heavy fields. We consider the two most common cases, world-sheet instantons and gaugino condensates For the latter, in Type IIB A( ) arises as open-string one-loop corrections to the gauge kinetic function on the four-cycle parameterized by T [21,22], f = αT + 4π 2 log[g( )] + .
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