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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Moduli stabilisation for ADD and the Dark Dimension scenario

5 affiliations
  1. 1Durham University
  2. 2Università di Bologna
  3. 3INFN, Sezione di Bologna
  4. 4Università di Trieste
  5. 5INFN, Sezione di Trieste

Abstract

A bstract : We provide a moduli stabilisation mechanism for realising anisotropic string compactifications with one or two large extra dimensions, corresponding to the ADD and Dark Dimension scenarios. This is achieved within the type IIB Large Volume Scenario, where an exponentially large Calabi-Yau volume in string units can naturally generate a parametrically low Kaluza-Klein scale. Anisotropy is realised by considering a Calabi-Yau threefold which is a K3 fibration over a ℙ ¹ base. The volume of the 4D K3 fibre is stabilised at relatively small values by perturbative corrections to the effective action, in particular string loops and higher-derivative effects, leaving an exponentially large volume of the 2D ℙ ¹ base. We argue that complex structure moduli stabilisation, although not analysed explicitly, can dynamically deform the ℙ ¹ base, corresponding to a Tyurin degeneration limit where the internal geometry effectively develops a single large 1D cycle. Within a unified description, the ADD case is instead recovered as a symmetric alternative limit. The potential can feature either a dS vacuum or a quintessence runaway, although in both cases some degree of tuning is required to match the observed cosmological constant scale. We also present an explicit Calabi-Yau orientifold example with consistent brane setup, tadpole cancellation and Kähler moduli stabilisation. We analyse the resulting moduli spectrum and associated phenomenological constraints, including supersymmetry breaking, cosmological moduli overproduction and fifth force bounds.

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BibTeX
@article{braun2026moduli,
  title = {{Moduli stabilisation for ADD and the Dark Dimension scenario}},
  author = {Andreas P. Braun and Michele Cicoli and Riccardo Milioli and Roberto Valandro},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)112},
  url = {https://link.springer.com/10.1007/JHEP10(2026)112},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Moduli stabilisation for ADD and the Dark Dimension scenario
AU  - Andreas P. Braun
AU  - Michele Cicoli
AU  - Riccardo Milioli
AU  - Roberto Valandro
PY  - 2026
DA  - 2026/10/09
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)112
UR  - https://link.springer.com/10.1007/JHEP10(2026)112
AB  - A bstract : We provide a moduli stabilisation mechanism for realising anisotropic string compactifications with one or two large extra dimensions, corresponding to the ADD and Dark Dimension scenarios. This is achieved within the type IIB Large Volume Scenario, where an exponentially large Calabi-Yau volume in string units can naturally generate a parametrically low Kaluza-Klein scale. Anisotropy is realised by considering a Calabi-Yau threefold which is a K3 fibration over a ℙ ¹ base. The volume of the 4D K3 fibre is stabilised at relatively small values by perturbative corrections to the effective action, in particular string loops and higher-derivative effects, leaving an exponentially large volume of the 2D ℙ ¹ base. We argue that complex structure moduli stabilisation, although not analysed explicitly, can dynamically deform the ℙ ¹ base, corresponding to a Tyurin degeneration limit where the internal geometry effectively develops a single large 1D cycle. Within a unified description, the ADD case is instead recovered as a symmetric alternative limit. The potential can feature either a dS vacuum or a quintessence runaway, although in both cases some degree of tuning is required to match the observed cosmological constant scale. We also present an explicit Calabi-Yau orientifold example with consistent brane setup, tadpole cancellation and Kähler moduli stabilisation. We analyse the resulting moduli spectrum and associated phenomenological constraints, including supersymmetry breaking, cosmological moduli overproduction and fifth force bounds.
SN  - 1029-8479
ER  -