5 research outputs found
Explicit de Sitter Flux Vacua for Global String Models with Chiral Matter
We address the open question of performing an explicit stabilisation of all
closed string moduli (including dilaton, complex structure and Kaehler moduli)
in fluxed type IIB Calabi-Yau compactifications with chiral matter. Using toric
geometry we construct Calabi-Yau manifolds with del Pezzo singularities.
D-branes located at such singularities can support the Standard Model gauge
group and matter content. In order to control complex structure moduli
stabilisation we consider Calabi-Yau manifolds which exhibit a discrete
symmetry that reduces the effective number of complex structure moduli. We
calculate the corresponding periods in the symplectic basis of invariant
three-cycles and find explicit flux vacua for concrete examples. We compute the
values of the flux superpotential and the string coupling at these vacua.
Starting from these explicit complex structure solutions, we obtain AdS and dS
minima where the Kaehler moduli are stabilised by a mixture of D-terms,
non-perturbative and perturbative alpha'-corrections as in the LARGE Volume
Scenario. In the considered example the visible sector lives at a dP_6
singularity which can be higgsed to the phenomenologically interesting class of
models at the dP_3 singularity.Comment: 49 pages, 5 figures; v2: references adde
M2-Branes and Fano 3-folds
A class of supersymmetric gauge theories arising from M2-branes probing
Calabi-Yau 4-folds which are cones over smooth toric Fano 3-folds is
investigated. For each model, the toric data of the mesonic moduli space is
derived using the forward algorithm. The generators of the mesonic moduli space
are determined using Hilbert series. The spectrum of scaling dimensions for
chiral operators is computed.Comment: 128 pages, 39 figures, 42 table
D3/D7 Branes at Singularities: Constraints from Global Embedding and Moduli Stabilisation
In the framework of type IIB string compactifications on Calabi-Yau
orientifolds we describe how to construct consistent global embeddings of
models with fractional D3-branes and connected `flavour' D7-branes at del Pezzo
singularities with moduli stabilisation. Our results are applied to build an
explicit compact example with a left-right symmetric model at a dP_0
singularity which features three families of chiral matter and gauge coupling
unification at the intermediate scale. We show how to stabilise the moduli
obtaining a controlled de Sitter minimum and spontaneous supersymmetry
breaking. We find an interesting non-trivial dynamical relation between the
requirement of TeV-scale soft terms and the correct phenomenological values of
the unified gauge coupling and unification scale.Comment: 31 pages, 5 figures. v2: published version in JHEP, corrections in
section 2.2, Appendix A added for better illustration, typos correcte