Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

De Sitter Vacua from a D-term Generated Racetrack Uplift

Markus Rummel, Yoske Sumitomo

TL;DR

The paper introduces a D-term generated racetrack uplift in type IIB string theory that leverages a D-term constraint enforcing a proportionality between two small Kähler moduli, producing an F-term uplift term of the form $e^{-a_s\tau_s}/\mathcal{V}^2$ that can balance LVS stabilization to yield de Sitter vacua. By combining two non-perturbative effects on distinct 4-cycles with a magnetized D7-brane configuration, the authors show how the uplift can occur without warping or dilaton suppression and demonstrate the mechanism in models with three and four Kähler moduli, including analytic estimates and numerical illustrations. A key insight is that the cross-terms between the two non-perturbative sectors arise only at subleading orders, preserving the desired uplift behavior at leading LVS order. The work broadens the landscape of viable dS constructions in LVS setups and suggests that the mechanism can be realized in a wide class of Calabi–Yau compactifications with multiple Kähler moduli, with potential implications for phenomenology and inflation.

Abstract

We propose an uplift mechanism using a structure of multi-Kähler moduli dependence in the F-term potential of type IIB string theory compactifications. This mechanism requires a D-term condition that fixes one modulus to be proportional to another modulus, resulting in a trivial D-term potential. De Sitter minima are realized along with an enhancement of the volume in the Large Volume Scenario and no additional suppression of the uplift term such as warping is required. We further show the possibility to realize the uplift mechanism in the presence of more Kähler moduli such that we expect the uplift mechanism to work in many other compactifications.

De Sitter Vacua from a D-term Generated Racetrack Uplift

TL;DR

The paper introduces a D-term generated racetrack uplift in type IIB string theory that leverages a D-term constraint enforcing a proportionality between two small Kähler moduli, producing an F-term uplift term of the form that can balance LVS stabilization to yield de Sitter vacua. By combining two non-perturbative effects on distinct 4-cycles with a magnetized D7-brane configuration, the authors show how the uplift can occur without warping or dilaton suppression and demonstrate the mechanism in models with three and four Kähler moduli, including analytic estimates and numerical illustrations. A key insight is that the cross-terms between the two non-perturbative sectors arise only at subleading orders, preserving the desired uplift behavior at leading LVS order. The work broadens the landscape of viable dS constructions in LVS setups and suggests that the mechanism can be realized in a wide class of Calabi–Yau compactifications with multiple Kähler moduli, with potential implications for phenomenology and inflation.

Abstract

We propose an uplift mechanism using a structure of multi-Kähler moduli dependence in the F-term potential of type IIB string theory compactifications. This mechanism requires a D-term condition that fixes one modulus to be proportional to another modulus, resulting in a trivial D-term potential. De Sitter minima are realized along with an enhancement of the volume in the Large Volume Scenario and no additional suppression of the uplift term such as warping is required. We further show the possibility to realize the uplift mechanism in the presence of more Kähler moduli such that we expect the uplift mechanism to work in many other compactifications.

Paper Structure

This paper contains 10 sections, 42 equations, 1 figure.

Table of Contents

  1. Introduction
  2. D-term generated racetrack uplift - general mechanism
  3. Geometric setup and superpotential
  4. D7-brane and gauge flux configuration
  5. Effective potential of the Kähler moduli
  6. F-term uplift
  7. Analytical estimate
  8. On realization in models with more moduli
  9. Discussion
  10. Conditions for avoiding additional zero-modes

Figures (1)

  • Figure 1: Illustration of the D-term generated racetrack uplift mechanism. We plot the cosmological constant $\hat{\Lambda}$ vs $c_3$, $\text{min}(\partial^2 \hat{V})$ and $\mathcal{V}_x$ at the minima of the potential, especially near the Minkowski point.