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Non-Perturbative Superpotentials In String Theory

4 Pith papers cite this work. Polarity classification is still indexing.

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abstract

The non-perturbative superpotential can be effectively calculated in $M$-theory compactification to three dimensions on a Calabi-Yau four-fold $X$. For certain $X$, the superpotential is identically zero, while for other $X$, a non-perturbative superpotential is generated. Using $F$-theory, these results carry over to certain Type IIB and heterotic string compactifications to four dimensions with $N=1$ supersymmetry. In the heterotic string case, the non-perturbative superpotential can be interpreted as coming from space-time and world-sheet instantons; in many simple cases contributions come only from finitely many values of the instanton numbers.

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representative citing papers

Chiral global embedding of Fibre Inflation with $\overline{\rm D3}$ uplift

hep-th · 2024-12-11 · conditional · novelty 7.0

Explicit construction of a chiral global embedding of Fibre Inflation with anti-D3 uplift on an h^{1,1}=4 K3-fibered Calabi-Yau, using magnetised D7-branes, a Whitney brane, and O3-planes at a conifold tip, with viable parameter regions identified.

Assisted Fibre Inflation in Perturbative LVS

hep-th · 2025-06-27 · unverdicted · novelty 4.0

Multi-field fibre inflation in perturbative LVS uses collective dynamics of several moduli to achieve viable cosmology with sub-Planckian individual field ranges given by total range divided by sqrt(n).

On Global Embedding of Assisted Fibre Inflation

hep-th · 2026-04-21 · unverdicted · novelty 3.0

Assisted multi-fibre inflation distributes the required field range across several moduli in global CY orientifolds, overcoming single-field Kähler cone obstructions to realize viable inflation.

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  • Chiral global embedding of Fibre Inflation with $\overline{\rm D3}$ uplift hep-th · 2024-12-11 · conditional · none · ref 6 · internal anchor

    Explicit construction of a chiral global embedding of Fibre Inflation with anti-D3 uplift on an h^{1,1}=4 K3-fibered Calabi-Yau, using magnetised D7-branes, a Whitney brane, and O3-planes at a conifold tip, with viable parameter regions identified.