Geometric constructions of nongeometric string theories

By S. Hellerman, John McGreevy, Brook Williams. 2002

256 citations recorded by the source corpus.

We advocate a framework for constructing perturbative closed string compactifications which do not have large-radius limits. The idea is to augment the class of vacua which can be described as fibrations by enlarging the monodromy group around the singular fibers to include perturbative stringy duality symmetries. As a controlled laboratory for testing this program, we study in detail six-dimensional (1,0) supersymmetric vacua arising from two-torus fibrations over a two-dimensional base. We also construct some examples of two-torus fibrations over four-dimensional bases, and comment on the extension to other fibrations.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f149c93d4a12e0d63ea72cfcf4064f59d8322149

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In Nuclear and High Energy Physics

Citations in the corpus

A scan for new N = 1 vacua on twisted tori (2006, background): “The non–geometric construction of [60] is a resolution of a similar orbifold.”
DE SITTER MUSINGS (2012, background): “In order to uplift the curvature and obtain a metastable positive cosmological constant for the non-compact space the authors consider adding, among other ingredients, two orientifold five-planes intersecting at a point and two sets of stringy cosmic five-branes [138] also intersecting at a point.”
More Dual Fluxes and Moduli Fixing (2006, result): “Such non-geometric fluxes had already been, and continue to be, studied by several authors [17, 18, 19, 20, 21, 22, 23, 15, 24, 25, 26].”
Torsional Heterotic Geometries (2009, methodology): “We will begin by reviewing the metric of [52] adapted to our notation.”
Generalized Complex Manifolds and Supersymmetry (2004, background): “This possibility has been emphasized in many papers; Scherk–Schwarz compactifications are for example of this type, and also the ones in [9].”
Monodromy in the CMB: Gravity Waves and String Inflation (2008, background): “ curvature potential energy – cleanly excludes this possibility.7 It would be interesting to perform a systematic study of models making use of this mechanism in more general compactiﬁcations such as [10, 18]. We turn next to a systematic analysis of the D4-brane dynamics in our Nil manifold case. 7”
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.”
Duality Symmetric String and M-Theory (2013, background): “The relationship between these sorts of non-geometric backgrounds and asymmetric orbifolds [95] (in which left and right moving sectors are subject to different orbifold actions) has been explored in [74, 76, 77, 96, 62, 97] and more recently in [98, 99].”
Flux compactifications in string theory: A Comprehensive review (2005, background): “d ﬂuxes of Ref. [91]. Finally, let us comment that some of these ﬂux solutions can be related by duality to ﬂuxless solutions, as nicely shown in Refs. [92, 93], and also to non geometric backgrounds [94], as discussed in Ref. [95]. 3.4 Internal manifold and generalized complex geometry In this sect”
Flux compactifications of string theory on twisted tori (2005, background): “reductions on a geometric background, and these cannot be realised as reductions on twisted tori, and any such lift would lead to what might be called a non-geometric background; such backgrounds have been discussed in [32, 33].”
T-duality and closed string non-commutative (doubled) geometry (2010, background): “We will give some evidence that for certain geometrical backgrounds, namely for geometric flux compactifications on twisted tori [19, 20, 21, 22, 23, 24, 25, 26], space with coordinates becomes non-commutative.”
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].”
Nongeometric flux compactifications (2005, background): “Nongeometric spaces of this type were considered in [21, 22, 23, 24, 25].”
Lectures on generalized complex geometry for physicists (2010, background): “The challenge is then to match all the possible gaugings with the 10D geometric and form ﬁeld ﬂuxes (see e.g. [60, 187, 188]). For a complete matching it turns out that also non-geometric backgrounds [50, 189, 190, 191, 51, 192] must be taken into account. 77 Acknowledgements I would like to thank t”