Note on de Sitter vacua from perturbative and non-perturbative dynamics in type IIB/F-theory compactifications

Vasileios, Basiouris,; Leontaris, G.K.

doi:10.1016/j.physletb.2020.135809

Cited by 11 publications

(26 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Well‐known approaches include those based on [21,22], that allow various corrections or non‐perturbative contributions, and recent works studying those possibilities include. [ 23–27 ] Further recent works on de Sitter in string compactifications can be found in [28–34]. In this paper, we rather focus on “classical de Sitter solutions”, [ 35 ] where we restrict ourselves to working in a classical and perturbative regime of string theory.…”

Section: Introductionmentioning

confidence: 99%

Tachyonic de Sitter Solutions of 10d Type II Supergravities

Andriot

2021

Fortschritte der Physik

View full text Add to dashboard Cite

Cosmological models of the early or late universe exhibit (quasi) de Sitter space‐times with different stability properties. Considering models derived from string theory, the swampland program does not provide for now a definite characterisation of this stability. In this work we focus on de Sitter solutions of 10d type II supergravities, candidates for classical de Sitter string backgrounds: surprisingly, all known examples are unstable with ηV<−1. We aim at proving the existence of such a systematic tachyon, and getting formally a bound on the value of ηV. To that end, we develop three methods, giving us various sufficient conditions for having a tachyon upon assumptions, in analogy with de Sitter no‐go theorems. Our analysis eventually indicates the existence of variety of different tachyons, and related bounds on ηV. We use this knowledge to find 10 new de Sitter solutions of type IIB supergravity, that have tachyons of a different kind, higher ηV values and new 6d geometries. One solution even appears to be stable, with however non‐compact extra dimensions.

show abstract

Section: Introductionmentioning

confidence: 99%

Tachyonic de Sitter Solutions of 10d Type II Supergravities

Andriot

2021

Fortschritte der Physik

View full text Add to dashboard Cite

show abstract

“…In [34] a model consisting of a geometric configuration of three

D7

branes and three Kähler moduli based on the construction proposed in [30] in the framework of type IIB string theory, has been studied beyond the tree‐level approximation, by including logarithmic perturbative [ 31 ] as well as non‐perturbative corrections. Despite the complicated structure of these contributions, it was shown that, in the large volume regime, the scalar potential of the emerging effective field theory receives a simplified form which illustrates all the essential features of the model.…”

Section: A Short Review and Extension Of Previous Workmentioning

confidence: 99%

“…The coefficients

A_i

are functions of

z_a

, and

a_k

are small parameters which in the case of gaugino condensation take the form

a_k=\frac{2\pi }{N_k}

, with

N_k

the rank of the corresponding gauge group of the

D7

brane stack. In [34] the simplest scenario of only one Kähler modulus field (say

\rho _1

) was considered to have non‐vanishing non‐perturbative (NP) contributions so that the superpotential () reduces to

{\cal W}= {\cal W}_0 + A e^{-a\rho _1}

.…”

Section: A Short Review and Extension Of Previous Workmentioning

confidence: 99%

“…Within the above context, in a previous work [ 34 ] a first step towards combining the effects of the logarithmic (perturbative) and the non‐perturbative corrections has been put forward. The analysis was performed within a framework of three Kähler moduli

\rho _i

and three intersecting

D7

brane stacks and, on first approach, only one Kähler modulus

\rho _1

has been considered to contribute in the flux induced superpotential

{\cal W}_0

through an exponential term of the form

Ae^{-a \rho _1}

.…”

Section: Introductionmentioning

confidence: 99%

“…In the following section, (section 2), the basic features of the model together with a short review of the previous work [ 30,31,34 ] are presented. In section 3, the scalar potential is computed taking into account the aforementioned perturbative logarithmic contributions and the non‐perturbative corrections.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Remarks on the Effects of Quantum Corrections on Moduli Stabilization and de Sitter Vacua in Type IIB String Theory

Vasileios

Leontaris

2022

Fortschritte der Physik

Self Cite

View full text Add to dashboard Cite

The role of string loop corrections on the existence of de Sitter vacua and the moduli stabilization problem is examined in type IIB effective theories. The fundamental building blocks are a minimum of three intersecting D7 brane stacks, three Kähler moduli, and a novel Einstein‐Hilbert term associated with higher derivative terms of the 10‐dimensional effective action. It was shown in previous works that loop corrections appear which induce novel logarithmic volume‐dependent terms in the effective potential. When D‐term contributions are considered, all Kähler moduli are stabilized and de Sitter vacua are achieved. In the present work, a comprehensive study of multiple non‐perturbative terms in the superpotential is undertaken. The combined effects of the logarithmic loop corrections and two non‐perturbative superpotential Kaehler moduli dependent terms have been investigated. It is shown that a variety of fluxes exist for large as well as moderate volume compactifications which define a de Sitter space and stabilize the moduli fields. For large volumes, a generic simple form of the potential is achieved. The so obtained effective potential appears to be promising for cosmological applications.

show abstract

Systematics of perturbatively flat flux vacua

Carta

Mininno

Shukla

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

In this article, we present a systematic analysis of the so-called perturbatively flat flux vacua (PFFV) for the mirror Calabi-Yau (CY) 3-folds ($$ {\overset{\sim }{X}}_3 $$ X ~ 3 ) with h1,1($$ {\overset{\sim }{X}}_3 $$ X ~ 3 ) = 2 arising from the Kreuzer-Skarke database of the four-dimensional reflexive polytopes. We consider the divisor topologies of the CY 3-folds for classifying the subsequent models into three categories; (i) models with the so-called Swiss-cheese structure, (ii) models with the K3-fibered structure, and (iii) the remaining ones which we call as models of “Hybrid type”. In our detailed analysis of PFFV we find that for a given fixed value of the D3 tadpole charge Nflux, the K3-fibered mirror CY 3-folds have significantly larger number of such PFFV as compared to those which have Swiss-cheese structure, while the Hybrid type models have a mixed behavior. We also compute the Gopakumar-Vafa invariants necessary for fixing the flat valley in the weak string-coupling and large complex-structure regime by using the non-perturbative effects, which subsequently reduce the number of physically trustworthy vacua quite significantly. Moreover, we find that there are some examples in which the PFFV are protected even at the leading orders of the non-perturbative effects due to the some underlying symmetry in the CY geometry, which we call as “Exponentially flat flux vacua”. We also present a new class of PFFV using the S-duality arguments.

show abstract

Note on de Sitter vacua from perturbative and non-perturbative dynamics in type IIB/F-theory compactifications

Cited by 11 publications

References 20 publications

Tachyonic de Sitter Solutions of 10d Type II Supergravities

Tachyonic de Sitter Solutions of 10d Type II Supergravities

Remarks on the Effects of Quantum Corrections on Moduli Stabilization and de Sitter Vacua in Type IIB String Theory

Systematics of perturbatively flat flux vacua

Contact Info

Product

Resources

About