Non-Kaehler Heterotic String Solutions with non-zero fluxes and non-constant dilaton

Abstract

Conformally compact and complete smooth solutions to the Strominger system with non vanishing flux, non-trivial instanton and non-constant dilaton using the first Pontrjagin form of the (-)-connection} on 6-dimensional non-Kaehler nilmanifold are presented. In the conformally compact case the dilaton is determined by the real slices of the elliptic Weierstrass function. The dilaton of non-compact complete solutions is given by the fundamental solution of the Laplacian on $R^4$.

LaTeX 2e, 17 pages

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Cited by in corpus (7)

• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
• Invariant solutions to the Strominger system and the heterotic equations of motion
• The Anomaly flow over Riemann surfaces
• Order ${\alpha }^{\prime }$ heterotic domain walls with warped nearly Kähler geometry
• Geometric Partial Differential Equations from Unified String Theories
• The Heterotic-Ricci flow and its three-dimensional solitons
• The Hull-Strominger system and the Anomaly flow on a class of solvmanifolds