Complete classiffication of Minkowski vacua in generalised flux models

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.

Section: Jhep10(2015)069mentioning

confidence: 87%

“…Different theories are specified through various kinds of fluxes due to the metric and gauge fields living on the manifold. In order to find stable dS solution it has turned out to be crucial to turn on non-geometric fluxes, and explicit, successful examples can be found in refs [14][15][16][17].…”

Section: Jhep10(2015)069mentioning

confidence: 99%

Universal dS vacua in STU-models

Blåbäck

Danielsson

Dibitetto

et al. 2015

“…The supersymmetric Minkowski vacuum and moduli stabilization from the Type IIB compactifications on orientifolds have been studied in refs. [61][62][63][64][65][66][67]. Most of these works targeted the compactification on isotropic T 6 , i.e., with an exchange symmetry among three sub-tori so that T 1 = T 2 = T 3 and U 1 = U 2 = U 3 .…”

Section: Jhep10(2015)138mentioning

confidence: 99%

“…Such compactifications have been studied in refs. [61][62][63][64][65][66][67][68][69] as a mechanism for obtaining vacua with full moduli stabilization. The authors of these works have mainly focused on the simplified case where an exchange symmetry exists among three sub-tori.…”

Section: Jhep10(2015)138mentioning

confidence: 99%

Helical phase inflation via non-geometric flux compactifications: from natural to starobinsky-like inflation

Nanopoulos

2015

We show that a new class of helical phase inflation models can be simply realized in minimal supergravity, wherein the inflaton is the phase component of a complex field and its potential admits a deformed helicoid structure. We find a new unique complex-valued index χ that characterizes almost the entire region of the n s − r plane favored by new Planck observations. Continuously varying the index χ, predictions interpolate from quadratic/natural inflation parameterized by a phase/axion decay constant to Starobinsky-like inflation parameterized by the α-parameter. We demonstrate that the simple supergravity construction realizing Starobinsky-like inflation can be obtained from a more microscopic model by integrating out heavy fields, and that the flat phase direction for slow-roll inflation is protected by a mildly broken global U(1) symmetry. We study the geometrical origin of the index χ, and find that it corresponds to a linear constraint relating Kähler moduli. We argue that such a linear constraint is a natural result of moduli stabilization in Type II orientifold compactifications on Calabi-Yau threefolds with geometric and non-geometric fluxes. Possible choices for the index χ are discrete points on the complex plane that relate to the distribution of supersymmetric Minkowski vacua on JHEP10 (2015)138 moduli space. More precise observations of the inflationary epoch in the future may provide a better estimation of the index χ. Since χ is determined by the fluxes and vacuum expectation values of complex structure moduli, such observations would characterize the geometry of the internal space as well.

“…Motivated by this setup, there were many attempts constructing dS vacua [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]. Using the necessary constraint for the extrema [43,44] and for the stability [45], we see that the existence of minima requires not only negative curvature, but also the presence of orientifold planes.…”

Section: Jhep01(2015)015mentioning

confidence: 97%

De Sitter vacua from a D-term generated racetrack uplift

Sumitomo

Rummel

2015

Abstract:We propose an uplift mechanism using a structure of multi-Kähler moduli dependence in the F-term potential of type IIB string theory compactifications. This mechanism requires a D-term condition that fixes one modulus to be proportional to another modulus, resulting in a trivial D-term potential. De Sitter minima are realized along with an enhancement of the volume in the Large Volume Scenario and no additional suppression of the uplift term such as warping is required. We further show the possibility to realize the uplift mechanism in the presence of more Kähler moduli such that we expect the uplift mechanism to work in many other compactifications.