Slow-roll inflation in non-geometric flux compactification

Abstract

By implementing a genetic algorithm we search for stable vacua in Type IIB nongeometric flux compactification on an isotropic torus with orientifold 3-planes. We find that the number of stable dS and AdS vacua are of the same order. Moreover we find that in all dS vacua the multi-field slow-roll inflationary conditions are fulfilled. Specifically we observe that inflation is driven by the axio-dilaton and the Kähler moduli. We also comment on the existence of one stable dS vacuum in the presence of exotic orientifolds. 1 cesaredas@fisica.ugto.mx 2 luisreydb@fisica.ugto.mx 3 oloaiza@fisica.ugto.mx 4 msabido@fisica.ugto.mx 1 arXiv:1302.0529v3 [hep-th] 10 Nov 2013Recently, there has been a huge interest in the search for classical de Sitter (dS) vacua within the context of superstring compactification. In the last few years, some constraints have been imposed by estimating the contributions to the effective scalar potential from each of the components that play a role in the compactification process. For instance, there is a no-go theorem, indicating that the existence of dS vacua in compactifications threaded with standard NS-NS and R-R fluxes is incompatible with inflation[1]. Recently, in the context of these standar type IIB compactifications, it has been shown the existence of classical dS vacua in specific and suitable D-brane configurations with orientifold planes [2][3][4]. On the other hand, further studies show that by considering a bigger set of allowed fluxes and more general structures for the internal geometry, it is possible to find some stable dS vacua [5][6][7][8][9][10][11][12][13][14][15][16][17][18] although their compatibility with inflation has not been studied in detail. In this work we present some stable dS vacua consistent with inflation.There are some essential ingredients string compactifications should contain to enhance the chances of finding stable dS vacua: a negative curved internal manifold and a small number of moduli fields [19][20][21].Here, we take the approach consisting in computing the scalar potential from a superpotential with all the above features. Specifically, a compactification on a negatively curved manifold with a superpotential W that depends at tree level on a small set of moduli is achieved by considering a type II string compactification on a six-dimensional isotropic torus in the presence of non-geometric fluxes [22][23][24][25]. (2.12) where J = (j±, k) and M = (m±). The Bianchi identity Q · H 3 = 0 decomposes as A M J · A M J = (A M J ) δ (A M J ) λ η δλ = 0, (2.13) for j = j , diag(η) = {−1, 1, 1, 1} and for the combinations M = (0+), J = {(2, 0+), (1, 3−)} and M = (3−), J = {(1, 2−), (2, 1+)}, while Q · Q = 0 decomposes as,

Decoupling and de Sitter vacua in approximate no-scale supergravities

“…Recently, the construction of metastable de Sitter vacua through spontaneous supersymmetry breaking has received a lot of attention (see for example [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] and references therein). By constructing solutions that are consistently captured by spontaneously broken N = 1 supergravity, one can hope for improved computability and a more detailed picture of this part of the 'landscape'.…”

Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT’s

“…The integrated fluxes can be described [51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70] as gaugings of the supergravity theory and, in this section, we derive the corresponding gauge algebra for a generic class of freely-acting (a)symmetric orbifolds. 1 In particular, we will not limit ourselves to orbifolds which are connected to symmetric ones by a chain of T-dualities, but rather consider quite generic cases which may lie in different conjugacy classes of the Tduality group, than the symmetric ones.…”

R2 inflation from scale invariant supergravity and anomaly free superstrings with fluxes

“…[25,26] and for recent reviews on this subject [27][28][29][30]). For orientifolds with fluxes and branes even some no-go theorems against stable de Sitter vacua were formulated [31] and ways to bypass these arguments were subsequently discussed in [32,33,[33][34][35][36][37][38][39]. In our paper we will show how the scale symmetry of the R 2 supergravity effective actions including matter as well as the non-scale invariant gaugings from quantum effects can be naturally derived from string compactifications with fluxes.…”