Constructing nongeometric vacua in string theory
By A. Flournoy, B. Wecht, Brook Williams. 2004
137 citations recorded by the source corpus.
Abstract In this paper we investigate compactifications of the type II and heterotic string on four-dimensional spaces with nongeometric monodromies. We explicitly construct backgrounds which contain the “Duality Twists” discussed by Dabholkar and Hull [JHEP 0309 (2003) 054, hep-th/0210209 ]. Similar constructions of nongeometric backgrounds have been discussed for type II strings by Hellerman, McGreevy, and Williams [ hep-th/0208174 ]. We find that imposing such monodromies projects out many moduli from the resulting vacua and argue that these backgrounds are the spacetime realizations of interpolating asymmetric orbifolds.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/384e0a660504596a3dc64566b919447943cb2b56
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Citations in the corpus
- Generalized Complex Manifolds and Supersymmetry (2004, methodology): “This remark is related to the discussion of non-geometrical string theories in [10, 11 ].”
- Non‐geometric fluxes in supergravity and double field theory (2012, background): “In that example, while the field configurations are geometric in situations A and B, the second T-duality leads to a non-geometric configuration in the ten-dimensional sense of [1, 3].”
- Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions (2012, background): “Whilst the idea of dimensionally reducing on so called non–geometric backgrounds has been extensively explored for years, see for instance [14, 15, 16, 17, 18, 19, 20, 21] and more recently [22, 23] it becomes very natural within the context of DFT.”
- β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework (2013, background): “Rather, they were believed to be related to the less standard non-geometric backgrounds (ten-dimensional non-geometry [4, 2, 5]), although no precise relation between the two concepts was established, until recent developments.”
- Type IIA Moduli Stabilization (2005, background): “Furthermore, the global properties of the dual-spaces may even be nongeometric [37].”
- Asymmetric orbifolds, non-geometric fluxes and non-commutativity in closed string theory (2012, methodology): “Φ′ = √ detGe−2Φ , (5) 3The importance of such constructions was noted, for example, in [19]. For further discussion on the relation between asymmetric orbifolds and non-geometric backgrounds see also [20]. 4Our convention throughout the text will be α′ = 1. 3 with E= G+B. These were derived by using”
- Flux compactifications of string theory on twisted tori (2005, background): “However, the T-duality or U-duality groups that arise in string theory have many elements that are not geometric in this sense, and such non-geometric twists have been considered in [2, 31].”
- Duality Symmetric String and M-Theory (2013, background): “One reason that such backgrounds have seen such interest is because they allow for moduli stablisation [103, 77, 91].”
- Double field theory: a pedagogical review (2013, background): “The ideas introduced in [56–58] led to the development of non-geometry, and T-dual non-geometric fluxes were named as such in [59] (see also [60]).”
- Generalized flux vacua (2006, unknown): “ the most part we simply treat the fluxes as parameters in the four-dimensional effective theory. Other approaches to the worldsheet description of nongeometric backgrounds include asymmetric orbifolds [19, 20], and a recent generalization [21]. We do not expect, however, that the backgrounds describe”
- Lectures on nongeometric flux compactifications (2007, unknown): “To motivate this idea, let us take a brief detour via a simple example.”