Abstract:We attempt a systematic analysis of string-theoretic quintessence models as an alternative to metastable de Sitter vacua. It appears that, within the boundaries of what is known, largevolume type-IIB flux compactifications are preferred. Here the quintessence scalar is the ratio of certain 4-cycle volumes. It has already been noticed that the volume modulus, which must be stabilized, tends to remain too light. One may call this the "light volume problem". In addition, we identify an "F -term problem": The posi… Show more
“…This limits the applicability to practical questions, where some of the 'large' quantities 22 The path towards a realistic string phenomenology relying on quintessence instead of de Sitter has serious issues of its own, at least in the better-understood part of the landscape. [80] are really not that large (cf. our M ≳ 12).…”
Section: Appendix: Comment On the Numerical Prefactorsmentioning
We analyze to which extent the KKLT proposal for the construction of de Sitter vacua in string theory is quantitatively controlled. Our focus is on the quality of the 10d supergravity approximation. As our main finding, we uncover and quantify an issue which one may want to call the "singular-bulk problem". In particular, we show that, requiring the curvature to be small in the conifold region, one is generically forced into a regime where the warp factor becomes negative in a significant part of the Calabi-Yau orientifold. This implies true singularities, independent of the familiar, string-theoretically controlled singularities of this type in the vicinity of O-planes. We also discuss possible escape routes as well as other control issues, related to the need for a large tadpole and hence for a complicated topology.
“…This limits the applicability to practical questions, where some of the 'large' quantities 22 The path towards a realistic string phenomenology relying on quintessence instead of de Sitter has serious issues of its own, at least in the better-understood part of the landscape. [80] are really not that large (cf. our M ≳ 12).…”
Section: Appendix: Comment On the Numerical Prefactorsmentioning
We analyze to which extent the KKLT proposal for the construction of de Sitter vacua in string theory is quantitatively controlled. Our focus is on the quality of the 10d supergravity approximation. As our main finding, we uncover and quantify an issue which one may want to call the "singular-bulk problem". In particular, we show that, requiring the curvature to be small in the conifold region, one is generically forced into a regime where the warp factor becomes negative in a significant part of the Calabi-Yau orientifold. This implies true singularities, independent of the familiar, string-theoretically controlled singularities of this type in the vicinity of O-planes. We also discuss possible escape routes as well as other control issues, related to the need for a large tadpole and hence for a complicated topology.
“…In any case, a no-dS viewpoint leads one to naturally focus on runaway potentials [25] in string theory and to quintessence models in phenomenology [26,27] (see [28] for a review). Embedding quintessence in string theory is also difficult and we will not go into any detail of this, but instead refer to [29][30][31].…”
In this note we observe that positive runaway potentials can generically be stabilized by abelian p-form fluxes, leading to parametrically controlled de Sitter solutions after compactification to a lower dimension. When compactifying from 4d to 2d the dS solutions are metastable, whereas all higher dimensional cases are unstable. The existence of these dS solutions require that a certain inequality involving the derivatives of the potential and p-form gauge coupling is satisfied. This inequality is not satisfied in simple stringy examples (outside of the scope of Maldacena-Nuñez), which unsurprisingly avoid this route to dS solutions. We can apply our techniques to construct dS 2 solutions in the Standard Model plus an additional runaway scalar such as quintessence. Demanding that these are avoided leads to (weak) phenomenological constraints on the time variation of the fine structure constant and QCD axion-photon coupling.
“…[1,2,3] 1 . Therefore the quintessence type of dark energy [7,8,9,10], that can be provided by runaway potentials, deserves a detailed study both in supergravity and in string theory [11,12,13,14,15,16,17,18,19,20,21,22]. In this contribution we will study quintessence from the perspective of a pure gravitational theory, we will show how such dynamics can naturally arise, and we will in particular embed these models in four-dimensional N=1 supergravity.…”
In this contribution we revisit higher curvature N=1 supergravity and discuss the quintessence phase that can appear due to the R 4 terms. In particular we focus on the bosonic supersymmetric completion within the old-minimal and the new-minimal formulations.
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