Compactifications of heterotic strings on non-Kähler complex manifolds II

By K. Becker, M. Becker, Keshav Dasgupta, P. Green, E. Sharpe. 2003

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Abstract We continue our study of heterotic compactifications on non-Kahler complex manifolds with torsion. We give further evidence of the consistency of the six-dimensional manifold presented earlier and discuss the anomaly cancellation and possible supergravity description for a generic non-Kahler complex manifold using the newly proposed superpotential. The manifolds studied in our earlier papers had zero Euler characteristics. We construct new examples of non-Kahler complex manifolds with torsion in lower dimensions, that have nonzero Euler characteristics. Some of these examples are constructed from consistent backgrounds in F-theory and therefore are solutions to the string equations of motion. We discuss consistency conditions for compactifications of the heterotic string on smooth non-Kahler manifolds and illustrate how some results well known for Calabi–Yau compactifications, including counting the number of generations, apply to the non-Kahler case. We briefly address various issues regarding possible phenomenological applications.

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

View Paper: https://www.semanticscholar.org/paper/2d439e212d6c0ab3fcef5741b1a704f3e2e4b131

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Citations in the corpus

Mirror Symmetric SU(3)-Structure Manifolds with NS Fluxes (2003, background): “Coming back to the case with H only switched on, a preliminary analysis of moduli spaces was sketched in [18], following ideas in [19].”
Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory (2006, background): “The metric was first written down in the orbifold limit in [11] and such backgrounds have since been studied extensively in [12,13,14,10].”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “More and also subsequent work on that subject can be found in [142, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541].”
Flux compactifications in string theory: A Comprehensive review (2005, methodology): “Besides, we will not cover moduli stabilization in M-theory [36, 37], and in the heterotic theory [161, 75, 139].”
Type IIA Moduli Stabilization (2005, unknown): “Departm entofPhysics Princeton University Princeton,NJ 08544,U.S.A. odewolfe@princeton.edu AlexanderGiryavets , Sham it Kachru Departm entofPhysicsand SLAC Stanford University Stanford,CA 94305/94309,U.S.A. giryav@stanford.edu, skachru@stanford.edu”
The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation (2006, background): “An example of non-Kähler manifolds X is given by T 2-bundles over Calabi-Yau varieties [2, 4, 10, 12, 14].”