Invariant Solutions to the Strominger System on Complex Lie Groups and Their Quotients

Abstract

Using canonical 1-parameter family of Hermitian connections on the tangent bundle, we provide invariant solutions to the Strominger system on complex Lie groups. Both flat and non-flat cases are discussed in detail.

11 pages, comments are welcome. Updates in v2: minor typos are corrected. Updates in v3: small revisions, to be consistent with published version

References in corpus (2)

• Non-Kaehler Heterotic String Compactifications with non-zero fluxes and constant dilaton
• Solutions of Strominger system from unitary representations of cocompact lattices of SL(2,C)

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• Balanced and Aeppli Parameters for the Heterotic Moduli
• On the existence of balanced metrics on six-manifolds of cohomogeneity one
• Estimates for a geometric flow for the Type IIB string
• The quaternionic Heisenberg group and Heterotic String Solutions with non-constant dilaton in dimensions 7 and 5
• A new positivity condition for the curvature of Hermitian manifolds
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• Lie Groups with flat Gauduchon connections
• Blowing up Chern-Ricci flat balanced metrics