Decoupling and de Sitter vacua in approximate no-scale supergravities

Self Cite

Abstract:We consider flux compactifications of type IIB string theory and F-theory in which the respective superpotentials at large complex structure are dominated by cubic or quartic terms in the complex structure moduli. In this limit, the low-energy effective theory exhibits universal properties that are insensitive to the details of the compactification manifold or the flux configuration. Focussing on the complex structure and axio-dilaton sector, we show that there are no vacua in this region and the spectrum of the Hessian matrix is highly peaked and consists only of three distinct eigenvalues (0, 2m 2 3/2 and 8m 2 3/2 ), independently of the number of moduli. We briefly comment on how the inclusion of Kähler moduli affect these findings. Our results generalise those of Brodie & Marsh [1], in which these universal properties were found in a subspace of the large complex structure limit of type IIB compactifications.

Section: Jhep03(2016)064mentioning

confidence: 99%

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

Marsh¹,

Sousa²

2016

Self Cite

“…The existence of such a possibility was argued for in [3] but no explicit example was provided. It is crucial that our example is of a more general type than those accessible through the exponential.…”

Section: Jhep10(2015)069mentioning

confidence: 99%

“…This work is inspired by the line of investigation opened up in refs [2,3]. There, the importance of approximate no-scale dS vacua in particular is discussed and a technical machinery is developed for constructing simple analytical families of such solutions.…”

Section: Jhep10(2015)069mentioning

confidence: 99%

“…The possibility of obtaining stable dS solutions in this context was first considered in ref. [31] and later extensively studied in refs [2,3], where explicit examples of analytical stable dS solutions close to no-scale Mkw points are constructed by means of non-perturbative superpotentials of the type (2.9).…”

Section: Jhep10(2015)069mentioning

confidence: 99%

“…In the next section we will show an example of a dS solution exhibiting three light modes, two of which are lifted at O( 2 ) while the extra one is lifted at O( ), thus providing the first realisation of the general situation discussed in ref. [3].…”

Section: Jhep10(2015)069mentioning

confidence: 99%

See 2 more Smart Citations

Universal dS vacua in STU-models

Blåbäck

Danielsson

Dibitetto

et al. 2015

Stable de Sitter solutions in minimal F-term supergravity are known to lie close to Minkowski critical points. We consider a class of STU-models arising from type IIB compactifications with generalised fluxes. There, we apply an analytical method for solving the equations of motion for the moduli fields based on the idea of treating derivatives of the superpotential of different orders up to third as independent objects. In particular, supersymmetric and no-scale Minkowski solutions are singled out by physical reasons. Focusing on the study of dS vacua close to supersymmetric Minkowski points, we are able to elaborate a complete analytical treatment of the mass matrix based on the sGoldstino bound. This leads to a class of interesting universal dS vacua. We finally explore a similar possibility around no-scale Minkowski points and discuss some examples.

The spectra of type IIB flux compactifications at large complex structure

Brodie

Marsh

2016

Self Cite

Abstract:We compute the spectra of the Hessian matrix, H, and the matrix M that governs the critical point equation of the low-energy effective supergravity, as a function of the complex structure and axio-dilaton moduli space in type IIB flux compactifications at large complex structure. We find both spectra analytically in an h 1,2 − + 3 real-dimensional subspace of the moduli space, and show that they exhibit a universal structure with highly degenerate eigenvalues, independently of the choice of flux, the details of the compactification geometry, and the number of complex structure moduli. In this subspace, the spectrum of the Hessian matrix contains no tachyons, but there are also no critical points. We show numerically that the spectra of H and M remain highly peaked over a large fraction of the sampled moduli space of explicit Calabi-Yau compactifications with 2 to 5 complex structure moduli. In these models, the scale of the supersymmetric contribution to the scalar masses is strongly linearly correlated with the value of the superpotential over almost the entire moduli space, with particularly strong correlations arising for g s < 1. We contrast these results with the expectations from the much-used continuous flux approximation, and comment on the applicability of Random Matrix Theory to the statistical modelling of the string theory landscape.