Non‐geometric fluxes in supergravity and double field theory

By D. Andriot, O. Hohm, Magdalena Larfors, D. Lust, Peter Patalong. 2012

198 citations recorded by the source corpus.

In this paper we propose ten‐dimensional realizations of the non‐geometric fluxes Q and R. In particular, they appear in the NSNS Lagrangian after performing a field redefinition that takes the form of a T‐duality transformation. Double field theory simplifies the computation of the field redefinition significantly, and also completes the higher‐dimensional picture by providing a geometrical role for the non‐geometric fluxes once the winding derivatives are taken into account. The relation to four‐dimensional gauged supergravities, together with the global obstructions of non‐geometry, are discussed.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/903f2b53ed2a92f28caddca447fec79c461ae627

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

1. David S. Berman
2. D. Marqués
3. C. Nuñez
4. D. Thompson
5. A. Betz
6. D. Andriot
7. G. Aldazabal
8. David Geissbühler

In Atomic and Molecular Physics, and Optics

1. D. Marqués
2. C. Nuñez
3. G. Aldazabal
4. David Geissbühler
5. V. Penas
6. D. Andriot
7. J. Boer
8. R. Szabo

In Nuclear and High Energy Physics

1. D. Marqués
2. C. Nuñez
3. D. Thompson
4. David S. Berman
5. G. Aldazabal
6. O. Hohm
7. D. Andriot
8. A. Betz

Citations in the corpus

• The gauge structure of generalised diffeomorphisms (2012, background): “The doubled field theory relevant for T-duality is closely connected to the generalised geometry of Hitchin [25], and has been thoroughly investigated [26–36], although some geometric understanding still seems to be missing.”
• β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework (2013, methodology): “In [18, 19], the full computation of L̃ without simplifying assumption was performed.”
• Exotic Branes in String Theory (2012, result): “However, more recently, it was shown [129–132] (see also [9,133,134]) that one can generalize DFT in a way such that its non-geometric Scherk–Schwarz compactification reproduces the constraint equations in the low dimensional theory expected for non-geometric compactifications.”
• Exploring double field theory (2013, methodology): “Other parameterizations and global frames are better to describe the dynamics of nongeometry [58–62].”
• Double field theory: a pedagogical review (2013, methodology): “A new geometrical framework to describe the non-geometric structures was developed in [64, 69].”
• Doubled α′-geometry (2013, unknown): “27 5.2 Projection to divergence free tensors . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30”
• Membrane sigma-models and quantization of non-geometric flux backgrounds (2012, methodology): “In [2, 3] potential target space effective actions for non-geometric Q-flux and R-flux backgrounds were constructed in the context of double field theory, which provides a geometrical role to the nongeometric fluxes related to gauge transformations (diffeomorphisms); it would be interesting to deriv”