Explicit de Sitter flux vacua for global string models with chiral matter

Abstract

Abstract:We address the open question of performing an explicit stabilisation of all closed string moduli (including dilaton, complex structure and Kähler 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 or some close extensions. In order to control complex structure moduli stabilisation we consider CalabiYau 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 Kähler moduli are stabilised by a mixture of D-terms, non-perturbative and perturbative α ′ 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.

Global embedding of fibre inflation models

“…contribution [57][58][59] corresponding to a T-brane background [53] but reduces the number of flat directions which can be used to drive inflation. Thus in the h 1,1 = 3 case, the only flat direction would become too heavy, and so would not represent anymore a natural inflaton candidate.…”

“…This situation can now potentially allow for the realisation of inflationary models together with a chiral visible sector and an explicit dS mechanism. In fact, in the presence of chirality, one of the flat directions would be lifted in the process of dS uplifting via D-term driven non-vanishing matter F-terms [53,[57][58][59], while the other might play the rôle of the inflaton. In the h 1,1 = 3 case, dS vacua could instead be realised via anti-branes [46].…”

Universal properties of type IIB and F-theory flux compactifications at large complex structure

“…In canonically normalised coordinates, we see this explicitly as K a = −2δ 1 a and K a K a = 4. Using (2.15) and (3.31), we find the F-terms, 32) so that F aF a = 4|W | 2 . The values of the potential and its gradient are given by, 33) just as equations (3.12) and (3.13) for the type IIB compactifications.…”

Non-thermal CMSSM with a 125 GeV Higgs

“…In these models the contribution to gaugino masses from anomaly mediation turns out to be negligibly small and hence is distinct from other scenarios [17][18][19][20] where contributions from anomaly mediation are significant and where a Wino LSP can be realised. Apart from DM, these models are very promising since they can be embedded in globally consistent Calabi-Yau compactifications [47][48][49], allow for TeVscale SUSY and successful inflationary models [50][51][52], do not feature any cosmological moduli problem, 2 are compatible with gauge coupling unification and do not suffer from any moduli-induced gravitino problem [54,55]. Non-standard thermal history using CMSSM was considered in ref.…”