Nongeometric flux compactifications

By J. Shelton, Washington Taylor, B. Wecht. 2005

498 citations recorded by the source corpus.

We investigate a simple class of type-II string compactifications which incorporate nongeometric ``fluxes'' in addition to ``geometric flux'' and the usual H-field and R-R fluxes. These compactifications are nongeometric analogues of the twisted torus. We develop T-duality rules for NS-NS geometric and nongeometric fluxes, which we use to construct a superpotential for the dimensionally reduced four-dimensional theory. The resulting structure is invariant under T-duality, so that the distribution of vacua in the IIA and IIB theories is identical when nongeometric fluxes are included. This gives a concrete framework in which to investigate the possibility that generic string compactifications may be nongeometric in any duality frame. The framework developed in this paper also provides some concrete hints for how mirror symmetry can be generalized to compactifications with arbitrary H-flux, whose mirrors are generically nongeometric.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1cf67cf052a6b2efe7ab3efb23119fd698dce74d

How researchers see this paper

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

In Mathematical Physics

1. D. Marqués
2. David Geissbühler
3. D. Lust
4. O. Hohm
5. David S. Berman
6. C. Nuñez
7. D. Thompson
8. D. Waldram

In Nuclear and High Energy Physics

1. D. Lust
2. M. Graña
3. D. Marqués
4. C. Nuñez
5. O. Hohm
6. David S. Berman
7. Eran Palti
8. D. Thompson

In Statistical and Nonlinear Physics

1. D. Marqués
2. D. Lust
3. O. Hohm
4. C. Nuñez
5. David S. Berman
6. D. Thompson
7. M. Graña
8. G. Aldazabal

Citations in the corpus

• Generalized flux vacua (2006, unknown): “For further details, we refer the reader to [9].”
• More Dual Fluxes and Moduli Fixing (2006, methodology): “In [16] it was proposed that T-duality of the most general NS flux will lead to metric as well as to non-geometric fluxes.”
• Generalized N=1 orientifold compactifications and the Hitchin functionals (2006, background): “In addition we mod out by orientation reversal of the string world-sheet Ωp together with an internal symmetry σ which acts solely on M6 but leaves the D = 4 space-time untouched.”
• T-duality, generalized geometry and non-geometric backgrounds (2008, background): “It has been argued that the missing half corresponds to “non-geometric fluxes”, encoding, for example, monodromies in the T-duality group, mixing metric and B-field [2, 3].”
• The effective action of double field theory (2011, background): “In the heterotic case, SL(2,R) corresponds to fractional linear transformations of the heterotic axio-dilaton field τH = λ+ ie −2φ (where λ is the dualized 2-form Kalb-Ramond field) whereas O(6, 6) (let us set N = 0 for the moment) is the group that contains T-duality transformations, as introduced ”
• Searching for slow-roll moduli inflation in massive type IIA supergravity with metric fluxes (2008, background): “However, that doesn’t necessarily stop us from discussing how they would appear in the low-energy theory, since that is determined by symmetry considerations [24], [25], [26], [20], [21].”
• Asymmetric orbifolds, non-geometric fluxes and non-commutativity in closed string theory (2012, background): “The example of a twisted three-torus T 3 has been considered often in the literature as a toy model to illustrate how non-commutative geometry [5] can arise in string theory or to argue about the existence of more general non-geometric fluxes [10, 11](e.”
• Flux compactifications of string theory on twisted tori (2005, background): “that e fm np and e K mnp might be thought of as a dual twist and dual flux [ 33 , 21].”
• Exploring double field theory (2013, methodology): “5) become the BI of [46–48, 70, 71] for constant fluxes, and those of [72] for non-constant fluxes.”
• Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, methodology): “From T-duality it was also conjectured that even more fluxes (or better flux-like deformations) could exist in so-called non-geometric compactifications [437].”
• Lectures on nongeometric flux compactifications (2007, background): “In section 5, we motivate a superpotential (first derived in [28]) which incorporates the compactifications in sections 2 and 3, and also includes nongeometric fluxes.”
• Smeared versus localised sources in flux compactifications (2010, methodology): “Then we can perform a T-duality [28, 29] along this direction and find a new space that can be conveniently written [30] in terms of the 1-forms dxμ, dxi, e9 = dx9 + 1 2f 9 ij x i dxj with μ = 0, .”
• Les Houches Lectures on Constructing String Vacua (2008, methodology): “Some recent considerations of nongeometric compactifications include [49] based on “over”-T-dualization of toroidal flux compactifications involving H -flux, and [50] based on LandauGinzburg models.”
• β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework (2013, background): “It is however customary in four dimensions [1] to require the tracelessness of f and Q”