Dimensional oxidation of non-geometric fluxes in type II orientifolds

Blumenhagen, Ralph; Gao, Xin; Herschmann, Daniela; Shukla, Pramod

doi:10.1007/jhep10(2013)201

Cited by 47 publications

(146 citation statements)

References 63 publications

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“…This is essentially a Bianchi identity (and fully agrees with previous results, e.g. [5,48]). It is simple to check that this Bianchi identity is satisfied in the example of section 2.2.2.…”

Section: Discussionsupporting

confidence: 92%

“…Finally, it is interesting to compare our results with the expressions for fluxes found in the context of DFT and its generalized Scherk-Schwarz dimensional reduction on twisted doubled tori [45][46][47][48]. For this comparison, it is not enough to look at Eqs.…”

Section: Discussionmentioning

confidence: 96%

“…Once more it is assumed that the 3D manifold has a 2D boundary, and the consistency between the equations of motion and the boundary conditions uncovers an extended set of relations that have to be satisfied. We comment on their relation to the flux formulation of DFT [45][46][47][48] (see also [49][50][51][52]). Finally we write down in very explicit terms a 3D sigma model with doubled target where (i) all types of fluxes appear, (ii) 2-form and 2-vector deformations are neither vanishing nor inverse of one another and (iii) the R-flux is not of the type that can be reduced to a standard 2D sigma model.…”

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confidence: 99%

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Sigma models for genuinely non-geometric backgrounds

Jonke¹

2016

Proceedings of Proceedings of the Corfu Summer Institute 2015 — PoS(CORFU2015)

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The existence of genuinely non-geometric backgrounds, i.e. ones without geometric dual, is an important question in string theory. In this paper we examine this question from a sigma model perspective. First we construct a particular class of Courant algebroids as protobialgebroids with all types of geometric and non-geometric fluxes. For such structures we apply the mathematical result that any Courant algebroid gives rise to a 3D topological sigma model of the AKSZ type and we discuss the corresponding 2D field theories. It is found that these models are always geometric, even when both 2-form and 2-vector fields are neither vanishing nor inverse of one another. Taking a further step, we suggest an extended class of 3D sigma models, whose world volume is embedded in phase space, which allow for genuinely non-geometric backgrounds. Adopting the doubled formalism such models can be related to double field theory, albeit from a world sheet perspective.1 thanasis@itp.uni-hannover.de 2

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Section: Discussionsupporting

confidence: 92%

Section: Discussionmentioning

confidence: 96%

mentioning

confidence: 99%

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Sigma models for genuinely non-geometric backgrounds

Jonke¹

2016

Proceedings of Proceedings of the Corfu Summer Institute 2015 — PoS(CORFU2015)

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“…In particular, the absence of NS branes leads to a set of quadratic constraints for all the NS-NS fluxes [10][11][12][13][34][35][36][37][38]. By using our T-duality rules, we will manage to show how these constraints are modified by the inclusion of terms containing both RR and P fluxes.…”

Section: Jhep12(2016)114mentioning

confidence: 99%

P fluxes and exotic branes

Lombardo

Riccioni

Risoli

2016

J. High Energ. Phys.

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Abstract:We consider the N = 1 superpotential generated in type-II orientifold models by non-geometric fluxes. In particular, we focus on the family of P fluxes, that are related by T-duality transformations to the S-dual of the Q flux. We determine the general rule that transforms a given flux in this family under a single T-duality transformation. This rule allows to derive a complete expression for the superpotential for both the IIA and the IIB theory for the particular case of a T 6 /[Z 2 × Z 2 ] orientifold. We then consider how these fluxes modify the generalised Bianchi identities. In particular, we derive a fully consistent set of quadratic constraints coming from the NS-NS Bianchi identities. On the other hand, the P flux Bianchi identities induce tadpoles, and we determine a set of exotic branes that can be consistently included in order to cancel them. This is achieved by determining a universal transformation rule under T-duality satisfied by all the branes in string theory.

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“…More recently string inflation with D7-branes and in F-theory was discussed in[25][26][27][28][29][30][31][32][33] 4. Ten-dimensional effective actions for non-geometric fluxes were also considered in[40][41][42][43][44][45]. See also[46] for a discussion in the context of generalized geometry.…”

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confidence: 99%

On Inflation and de Sitter in Non‐Geometric String Backgrounds

Haßler

Lüst

Massai

2017

Fortschritte der Physik

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We study the problem of obtaining de Sitter and inflationary vacua from dimensional reduction of double field theory (DFT) on nongeometric string backgrounds. In this context, we consider a new class of effective potentials that admit Minkowski and de Sitter minima. We then construct a simple model of chaotic inflation arising from T-fold backgrounds and we discuss the possibility of trans-Planckian field range from nongeometric monodromies as well as the conditions required to get slow roll.

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Dimensional oxidation of non-geometric fluxes in type II orientifolds

Cited by 47 publications

References 63 publications

Sigma models for genuinely non-geometric backgrounds

Sigma models for genuinely non-geometric backgrounds

P fluxes and exotic branes

On Inflation and de Sitter in Non‐Geometric String Backgrounds

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