Non-Kähler string backgrounds and their five torsion classes

By G. Cardoso, G. Curio, G. Dall’Agata, D. Lust, P. Manousselis, George Zoupanos. 2002

377 citations recorded by the source corpus.

We discuss the mathematical properties of six-dimensional non-Kahler manifolds which occur in the context of N=1 supersymmetric heterotic and type IIA string compactifications with non-vanishing background H-field. The intrinsic torsion of the associated SU(3) structures falls into five different classes. For heterotic compactifications we present an explicit dictionary between the supersymmetry conditions and these five torsion classes. We show that the non-Ricci-flat Iwasawa manifold solves the supersymmetry conditions with non-zero H-field, so that it is a consistent heterotic supersymmetric groundstate.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d103a931cf196cd3de8bdece969cd2ad2d5bc2f0

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. M. Graña
2. D. Lust
3. Ralph Blumenhagen
4. Thomas W. Grimm
5. J. Louis
6. Eran Palti
7. Gary Shiu
8. S. Kachru

In Nuclear and High Energy Physics

1. M. Graña
2. D. Lust
3. Ralph Blumenhagen
4. Thomas W. Grimm
5. Eran Palti
6. T. Weigand
7. J. Louis
8. A. Uranga

Citations in the corpus

• Mirror Symmetric SU(3)-Structure Manifolds with NS Fluxes (2003, background): “In particular, supersymmetric vacua with only the three-form switched on are outside this class: indeed the conditions for these are [8] (reinterpreted in terms of torsions for example in [9] and [10])”
• Compactification with Flux on K3 and Tori (2003, methodology): “Before closing let us note that heterotic compactifications with H3 flux have been considered in [40,36,22,33,24].”
• Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory (2006, background): “Gauntlett et al. [8] that the “Iwasawa solution” presented in [ 7 ] is not a valid solution due”
• Lectures on nongeometric flux compactifications (2007, neutral): “Although most work on such compactifications has been restricted to Calabi-Yau manifolds, there is an ever-increasing amount of literature focusing on more general geometries, such as G-structure compactifications in both the Type II [8, 9] and heterotic [10] string, as well as more generally [11].”
• Superstrings with intrinsic torsion (2003, methodology): “Thus, for instance, the solutions presented in [17] based on the Iwasawa manifold, although supersymmetric, do not solve the leading order equations of motion.”
• Supersymmetric AdS(4) compactifications of IIA supergravity (2004, methodology): “Within the class of half-flat manifolds, our solutions are ‘orthogonal’ to the example based on the Iwasawa manifold encountered in [21], in the sense that for the latter the intrinsic torsion is entirely contained in W3.”
• Calabi-Yau connections with torsion on toric bundles (2003, neutral): “D”
• Loop-corrected compactifications of the heterotic string with line bundles (2005, background): “Moreover, one could try to freeze some of the complex structure and bundle moduli by turning on some background H-flux [20,56,57].”
• Generalized N=1 orientifold compactifications and the Hitchin functionals (2006, methodology): “The representations are conveniently encoded by five torsion classes Wi defined as [29, 30, 37 ],”
• New supersymmetric string compactifications (2002, background): “Other recent work in this direction has appeared in [32,33].”