Nongeometry, Duality Twists, and the Worldsheet

Alex Flournoy; Brook Williams

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Nongeometry, Duality Twists, and the Worldsheet

Alex Flournoy, Brook Williams

High Energy Physics - Theory · Submitted 11 Nov 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We argue that generic nongeometric backgrounds arising from duality twists will not have simple orbifold constructions and then proceed to construct several examples which do have a consistent worldsheet description.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.74 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.77 · mentions code or data availability 0.02.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

In this paper, we use orbifold methods to construct nongeometric backgrounds, and argue that they correspond to the spacetimes discussed in \cite{dh,wwf}. More precisely, we make explicit through several examples the connection between interpolating orbifolds and spacetime duality twists. We argue that generic nongeometric backgrounds arising from duality twists will not have simple orbifold constructions and then proceed to construct several examples which do have a consistent worldsheet description.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this paper, we use orbifold methods to construct nongeometric backgrounds, and argue that they correspond to the spacetimes discussed in \cite{dh,wwf}.	contribution 0.93	0.88	0.38	asserted 0.81
s1	More precisely, we make explicit through several examples the connection between interpolating orbifolds and spacetime duality twists.	contribution 0.86	0.94	0.19	asserted 1.00
s2	We argue that generic nongeometric backgrounds arising from duality twists will not have simple orbifold constructions and then proceed to construct several examples which do have a consistent worldsheet description.	contribution 0.79	0.90	0.35	asserted 0.84

What kind of paper the classifier reports this is: theoretical result 0.88 · evidence from proof or derivation 0.66.

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arXiv listing abstract v3

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The paper

Original abstract

In this paper, we use orbifold methods to construct nongeometric backgrounds, and argue that they correspond to the spacetimes discussed in \cite{dh,wwf}. More precisely, we make explicit through several examples the connection between interpolating orbifolds and spacetime duality twists. We argue that generic nongeometric backgrounds arising from duality twists will not have simple orbifold constructions and then proceed to construct several examples which do have a consistent worldsheet description.

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References

Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Generalised Geometry for M-Theory
hep-th 2007-01 conditional novelty 8.0 of 10

The paper builds exceptional generalised geometries, replacing SO(d,d) with E_n for M-theory and E_{d+1} for type II strings, so that metric, 3-form and Ramond-Ramond flux sit inside one bundle.
Worldsheet CFTs for Flat Monodrofolds
hep-th 2006-04 conditional novelty 8.0 of 10

A new wilsonization construction produces modular-invariant worldsheet CFTs for flat monodrofolds, with momentum fractionated in units of 1/N^2, and yields a new 7D N=1 type II vacuum.
More Dual Fluxes and Moduli Fixing
hep-th 2006-02 conditional novelty 7.0 of 10

Adding a new set of S-dual non-geometric fluxes to type IIB orientifolds yields N=1 Minkowski vacua in which the dilaton, complex structure, and Kahler moduli are all fixed.
Generalised T-Duality and Non-Geometric Backgrounds
hep-th 2005-12 conditional novelty 7.0 of 10

The paper identifies a new class of non-geometric string backgrounds with dependence on dual (winding) coordinates and argues that a generalised T-duality maps flux compactifications and T-folds onto them.
Doubled Geometry and T-Folds
hep-th 2006-05 conditional novelty 6.0 of 10

The doubled, T-duality-covariant string formalism is shown to be quantum-equivalent to the conventional sigma-model for world-sheets of any genus, once half the constraint currents are gauged and a topological term is added.

Show 3 more citing papers

A ten-dimensional action for non-geometric fluxes
hep-th 2011-06 conditional novelty 5.0 of 10

A change of field variables recasts the ten-dimensional NSNS Lagrangian so that the non-geometric Q-flux appears explicitly, and dimensional reduction reproduces the known four-dimensional Q-flux potential.
Non-geometric backgrounds in string theory
hep-th 2018-11 accept

The review maps how T-duality, generalised geometry, and flux compactifications describe string backgrounds that cannot be given an ordinary Riemannian geometry.
Duality Symmetric String and M-Theory
hep-th 2013-06 accept

The paper is a review that connects the doubled worldsheet, Double Field Theory, and exceptional generalised geometry as one program for making T- and U-duality manifest.

How the literature uses it

9 arXiv papers cite this in 11 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 4 sentences without a confident label

Cites it as support 1 paper

Evidence for the existence of such backgrounds has been produced and explicit CFT constructions, describing interpolating orbifold limits of these backgrounds, have been constructed [ref] .

Flux compactifications, twisted tori and doubled geometry · Doubled geometry · 0.97

Cites it as background 5 papers

More recently, non-geometric backgrounds have been investigated via field redefinitions for the ten-dimensional supergravity action in [ref] , and have been analyzed from a world-sheet point of view for instance in [ref] .

On T-duality transformations for the three-sphere · Introduction · 0.98
There is a somewhat simpler example of a $T^2$ fibered over $S^1$ [ref] and in fact in the latter of these papers, the authors have succeeded in finding a modular invariant worldsheet CFT which describes this background.

Non-geometric String Backgrounds and Worldsheet Algebras · Introduction · 0.85
By now, several models of T-folds have been analysed using CFT [ref] .

Mirrorfolds with K3 Fibrations · Introduction and Summary · 0.85

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