Generalised T-duality and non-geometric backgrounds

By A. Dabholkar, C. Hull. 2005

284 citations recorded by the source corpus.

We undertake a systematic analysis of non-geometric backgrounds in string theory by seeking stringy liftings of a class of gauged supergravity theories. In addition to conventional flux compactifications and non-geometric T-folds with T-duality transition functions, we find a new class of non-geometric backgrounds with non-trivial dependence on the dual coordinates that are conjugate to the string winding number. We argue that T-duality acts in our class of theories, including those cases without isometries in which the conventional Buscher rules cannot be applied, and that these generalised T-dualities can take T-folds or flux compactifications on twisted tori to examples of the new non-geometric backgrounds. We show that the new class of non-geometric backgrounds and the generalised T-dualities arise naturally in string field theory, and are readily formulated in terms of a doubled geometry, related to generalised geometry. At special points in moduli space, some of the non-geometric constructions become equivalent to asymmetric orbifolds which are known to provide consistent string backgrounds. We construct the bosonic sector of the corresponding gauged supergravity theories and show that they have a universal form in any dimension, and in particular construct the scalar potential. We apply this to the supersymmetric WZW model, giving the complete non-linear structure for a class of WZW-model deformations.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0270f56272bd366a9a72bfebed5d6b547822c77d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Duality Symmetric String and M-Theory (2013, background): “Such backgrounds are often described as having ‘R-flux’ and have been explored in [62, 100, 101].”
Consistent Kaluza-Klein truncations via exceptional field theory (2014, background): “More recently, the advances in the understanding of the duality symmetries underlying string and M-theory have nourished the idea to identify generalized geometric (and possibly non-geometric) compactifications as generalized Scherk-Schwarz reductions in some extended geometry [16–21].”
Generalized N=1 orientifold compactifications and the Hitchin functionals (2006, background): “The completion of mirror symmetry in the presence of NS-NS background fluxes is an area of intense current research [36, 43, 55, 82, 83, 64, 74, 67, 75].”
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.”
Gauged Supergravities. (2016, methodology): “This is effected by either extending (doubling) the tangent space of Mint (generalized geometry [89],[90],[61]) or extending the space-time manifold itself (Double Geometry [91]-[94] or Double Field Theory [95]-[100]).”
A ten-dimensional action for non-geometric fluxes (2011, methodology): “These conditions on NSNS fluxes can be identified [3, 13] with the Jacobi identities of a generalization of the gauge algebra of gauged supergravities.”
Membrane sigma-models and quantization of non-geometric flux backgrounds (2012, methodology): “(2.9) As reviewed in [64], the brackets (2.8) and (2.9) for constant H-flux mimic the phase space quasi-Poisson algebra of a charged particle in the background field of a magnetic monopole [49].”
Generalized flux vacua (2006, unknown): “It is possible that in some cases such gaugings are the result of compactifications on nongeometric string backgrounds [9, 10].”
Non‐geometric fluxes in supergravity and double field theory (2012, background): “There as well, these new quantities have been required for the algebra to be T-duality covariant [5, 6].”
More Dual Fluxes and Moduli Fixing (2006, methodology): “To find the analogous constraints for non-geometric fluxes we will follow the approach of [16], see also [26].”
The spacetime of double field theory: Review, remarks, and outlook (2013, background): “three-dimensional T-fold with non-geometric Q-ﬂux. Performing one more T-duality transformation along the third direction one obtains a non-geometric R-ﬂux background, leading to the well-known chain [32,33] Habc −→Tx fa bc −→Ty Q c ab −→Tz Rabc . (4.1) Here, fa bc = −2e[b me c] n∂ men a is the ‘geo”
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.”
β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework (2013, background): “The position of their indices can be understood when viewing them as structure constants of the gauge algebra involved in the gauging [1, 2, 3], or equivalently as some components of the embedding tensor.”
Double Field Theory (2009, unknown): “General string backgrounds, however, should involve fields depending on both x and x̃, and it is to be expected that there should be an extension of the T-duality transformation rules to this general case [25, 26].”
Extended geometry and gauged maximal supergravity (2013, unknown): “J H E P 0 6 ( 2 0 1 3 ) 0 4 6 Double Geometry [7–11]).”