Integer conformal dimensions for type IIa flux vacua

We revisit flux compactifications of type IIB string theory on ‘spaces’ dual to rigid Calabi-Yau manifolds. This rather unexplored part of the string landscapes harbors many interesting four-dimensional solutions, namely supersymmetric $$ \mathcal{N} $$ N = 1 Minkowski vacua without flat direction and infinite families of AdS vacua, some potentially with unrestricted rank for the gauge group. We also comment on the existence of metastable dS solutions in this setup. We discuss how these solutions fit into the web of swampland conjectures.

Section: Non-supersymmetric Ads Vacuasupporting

confidence: 55%

“…are integers as well [49,51,52]. This fascinating feature of this family of AdS vacua currently awaits an explanation and we check below in our other families whether the same is true or not.…”

Section: Jhep06(2022)166mentioning

confidence: 74%

Type IIB flux compactifications with h1,1 = 0

Bardzell

Gonzalo

Muthusamy

et al. 2022

“…where l is the anti-de Sitter radius defined in (3.20). As first discussed in [49,70] and computed more generally in [71], supersymmetric DGKT solutions satisfy the surprising property that the ∆ take integer values. As pointed out in [72], it is also the case of some non-supersymmetric solutions, but not of all of them.…”

Section: Jhep08(2022)109mentioning

confidence: 73%

Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation

Andriot

Horer

Marconnet

2022

We classified in [1] certain 10d supergravity solutions with a 4d de Sitter, Minkowski or anti-de Sitter spacetime. We then found new solutions in previously unexplored classes. In this paper we study their properties, compare them to swampland conjectures, and make new observations.Using new numerical tools, we first identify all Lie algebras underlying the 6d group manifolds, allowing us to discuss their compactness. We then investigate scale separation, and prove related no-go theorems. Last but not least, we automatize and analyze the stability of all solutions. This leads us to propose the Massless Minkowski Conjecture, claiming the systematic presence of a 4d flat direction.

“…With regards to the constructions in [4], which are classical, one could suspect that the inconsistent approximation is the use of "smeared" orientifold sources. In the meantime, various difficulties for achieving scale separation in Type II are discussed in [12][13][14], further recent developments can be found in [15][16][17][18][19], and implications on the holographic side are discussed in [20][21][22].…”

Section: Jhep07(2022)133mentioning

confidence: 99%

O6-plane backreaction on scale-separated Type IIA AdS3 vacua

Emelin

Farakos

Tringas

2022

We evaluate the backreaction of O6-planes in scale-separated AdS3 flux vacua of massive Type IIA. Using the appropriate flux scaling we show that the corrections to the various background fields and moduli are controlled and subleading when going from smeared to localized sources. Similarly, the backreaction corrections to the scalar potential are parametrically small in the scale-separation limit, assuming always that the near-O6-plane singularities will find a resolution within string theory, even in the presence of a Romans mass. Our analysis is based on the equations of motion and therefore applies also to the non-supersymmetric vacua.