<p>We carefully analyse the challenges posed by the construction of type IIB chiral global embeddings of Fibre Inflation with <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26406_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mover accent="true"> <mrow> <mi mathvariant="normal">D</mi> <mn>3</mn> </mrow> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \overline{\textrm{D}3} \)</EquationSource> </InlineEquation> uplift to a de Sitter vacuum. We present an explicit example involving an <i>h</i><sup>1,1</sup> = 4 Calabi-Yau manifold with a K3 fibration and a del Pezzo divisor supporting non-perturbative effects. The chosen orientifold involution induces O3-planes that can be placed on top of each other at the tip of the throat of a deformed conifold singularity. The D7-brane sector contains standard magnetised branes and a Whitney brane. The former induce chiral matter and generate quantum effects that stabilise the Kähler moduli, while the latter helps to increase the total D3-charge. We study in detail the constraints on the parameter space leading to an observationally viable inflationary dynamics, finding several regions where the effective field theory is under control.</p>

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Chiral global embedding of Fibre Inflation with \( \overline{\textrm{D}3} \) uplift

  • Michele Cicoli,
  • Antonella Grassi,
  • Osmin Lacombe,
  • Francisco G. Pedro

摘要

We carefully analyse the challenges posed by the construction of type IIB chiral global embeddings of Fibre Inflation with D 3 ¯ \( \overline{\textrm{D}3} \) uplift to a de Sitter vacuum. We present an explicit example involving an h1,1 = 4 Calabi-Yau manifold with a K3 fibration and a del Pezzo divisor supporting non-perturbative effects. The chosen orientifold involution induces O3-planes that can be placed on top of each other at the tip of the throat of a deformed conifold singularity. The D7-brane sector contains standard magnetised branes and a Whitney brane. The former induce chiral matter and generate quantum effects that stabilise the Kähler moduli, while the latter helps to increase the total D3-charge. We study in detail the constraints on the parameter space leading to an observationally viable inflationary dynamics, finding several regions where the effective field theory is under control.