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A domain wall bound on anti-de Sitter vacua

Niccolò Cribiori, Antonia Paraskevopoulou, Thomas Van Riet

Abstract

We consider anti-de Sitter flux vacua interpolated by flux-changing domain walls. Demanding that the tension of such a domain wall be above the ultraviolet cutoff of the effective description, we derive an upper bound on the anti-de Sitter radius, which we term domain wall bound. It translates into a lower bound on the gravitino mass, thus realizing the gravitino conjecture and the anti-de Sitter distance conjecture of the swampland program. We test the domain wall bound on several examples with a candidate hierarchy of scales: classical flux vacua, racetrack models, LVS and KKLT-like anti-de Sitter vacua. The classical flux vacua and LVS are found to be compatible with the bound. For racetrack and KKLT-like anti-de Sitter vacua, the bound poses a non-trivial constraint on achieving large hierarchies of scales.

A domain wall bound on anti-de Sitter vacua

Abstract

We consider anti-de Sitter flux vacua interpolated by flux-changing domain walls. Demanding that the tension of such a domain wall be above the ultraviolet cutoff of the effective description, we derive an upper bound on the anti-de Sitter radius, which we term domain wall bound. It translates into a lower bound on the gravitino mass, thus realizing the gravitino conjecture and the anti-de Sitter distance conjecture of the swampland program. We test the domain wall bound on several examples with a candidate hierarchy of scales: classical flux vacua, racetrack models, LVS and KKLT-like anti-de Sitter vacua. The classical flux vacua and LVS are found to be compatible with the bound. For racetrack and KKLT-like anti-de Sitter vacua, the bound poses a non-trivial constraint on achieving large hierarchies of scales.
Paper Structure (17 sections, 72 equations, 2 figures, 4 tables)

This paper contains 17 sections, 72 equations, 2 figures, 4 tables.

Table of Contents

  1. Introduction
  2. A domain wall bound in AdS
  3. AdS and the IR cutoff
  4. A derivation from ten dimensions
  5. A lower bound on the gravitino mass
  6. Counting AdS vacua
  7. The bound on classical flux vacua
  8. Domain wall tensions
  9. Four- and three-dimensional vacua
  10. The bound beyond classical flux vacua
  11. Basic KKLT model
  12. Racetrack models and exponentially small gravitino mass
  13. KKLT models with warped throats
  14. Type IIB compactifications and light domain walls
  15. Conclusions
  16. ...and 2 more sections

Figures (2)

  • Figure 1: On the left, the domain wall bubble (cyan) in four spacetime dimensions formed by wrapping an $NS5$-brane on an internal 3-cycle. Inside (outside of) it are $M+N$ ($N$) spacetime-filling $D3$-branes needed to cancel the Freed--Witten anomaly. On the right, zooming in on the domain wall, the polarization of the $D3$-branes into an $NS5'$-brane wrapping a contractible 2-cycle (magenta) within the 3-cycle.
  • Figure 2: The KPV scalar $\psi$ and its potential whose barriers are well below the cutoff scale $\Lambda_{\rm UV}$ of the EFT. Any dynamical process that dumps $E_{\rm kin}$ kinetic energy into $\psi$ that is below the cutoff but above the barrier height, makes $\psi$ "fly over" the landscape of minima.