<p>We complete the study initiated in [<i>JHEP</i> <b>12</b> (2024) 087] and investigate three-dimensional (3D) flux vacua of type II orientifold reductions on twisted tori that include a single type of spacetime-filling O<i>p</i>-plane with <i>p</i> = 2, . . . , 9. Restricting to SO(3)-invariant setups — also known as RSTU-models — and setting axions to zero, we exhaustively chart the landscape of 3D orientifold flux vacua. It consists of 56 inequivalent multi-parametric families of AdS<sub>3</sub> and Mkw<sub>3</sub> flux vacua, all of them without negative masses in the spectrum of scalar fluctuations. Performing T-dualities, all the inequivalent vacua can be found in type IIB with either O9-, O5- or O3-planes. We show that: <i>i</i>) type IIB with O9 fails to stabilise the volume of the internal space. <i>ii</i>) type IIB with O5 realises the only cases of scale-separated AdS<sub>3</sub> vacua. <i>iii</i>) type IIB with O3 provides only Mkw<sub>3</sub> vacua exhibiting a rich variety of supersymmetry-breaking patterns. Assuming that some mechanism (possibly non-perturbative) fixes the unstabilised modulus in type IIB with O9, we re-examine the possibility of achieving a weakly-coupled and scale-separated regime.</p>

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Taxonomy of type II orientifold flux vacua in 3D

  • Álvaro Arboleya,
  • Gabriele Casagrande,
  • Adolfo Guarino,
  • Matteo Morittu

摘要

We complete the study initiated in [JHEP 12 (2024) 087] and investigate three-dimensional (3D) flux vacua of type II orientifold reductions on twisted tori that include a single type of spacetime-filling Op-plane with p = 2, . . . , 9. Restricting to SO(3)-invariant setups — also known as RSTU-models — and setting axions to zero, we exhaustively chart the landscape of 3D orientifold flux vacua. It consists of 56 inequivalent multi-parametric families of AdS3 and Mkw3 flux vacua, all of them without negative masses in the spectrum of scalar fluctuations. Performing T-dualities, all the inequivalent vacua can be found in type IIB with either O9-, O5- or O3-planes. We show that: i) type IIB with O9 fails to stabilise the volume of the internal space. ii) type IIB with O5 realises the only cases of scale-separated AdS3 vacua. iii) type IIB with O3 provides only Mkw3 vacua exhibiting a rich variety of supersymmetry-breaking patterns. Assuming that some mechanism (possibly non-perturbative) fixes the unstabilised modulus in type IIB with O9, we re-examine the possibility of achieving a weakly-coupled and scale-separated regime.