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Torsional Heterotic Geometries

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arxiv 0903.3769 v2 pith:HWZS7X4B submitted 2009-03-23 hep-th math.DG

Katrin Becker , Savdeep Sethi This is my paper · ORCID
classification hep-thmath.DG
keywords dualityheterotictorsionalbianchifluxgeometriesidentitymetrics
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We construct new examples of torsional heterotic backgrounds using duality with orientifold flux compactifications. We explain how duality provides a perturbative solution to the type I/heterotic string Bianchi identity. The choice of connection used in the Bianchi identity plays an important role in the construction. We propose the existence of a much larger landscape of compact torsional geometries using string duality. Finally, we present some quantum exact metrics that correspond to NS5-branes placed on an elliptic space. These metrics describe how torus isometries are broken by NS flux.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stringy Corrections to Heterotic SU(3)-Geometry

    hep-th 2025-07 accept novelty 6.0 of 10

    At second order in alpha', heterotic SU(3) compactifications with a smooth large-radius limit obey the same complex geometric equations as Strominger's first-order system, and the Hull connection is not an instanton.

  2. Rational points in the 6d supergravity landscape and simple current extensions

    hep-th 2026-03 unverdicted novelty 5.0 of 10

    Rationality of the 2d SCFT on BPS strings provides a consistency criterion that uniquely determines the elliptic genus and global gauge group in a class of 6d supergravity models without tensor multiplets.

  3. Beyond Algebraic Superstring Compactification

    hep-th 2025-02 conditional novelty 5.0 of 10

    Calabi-Yau compactifications and mirror symmetry are conjecturally extended to non-algebraic toric spaces using Laurent deformations and the 'intrinsic limit' completion.

  4. String geometry phenomenology

    hep-th 2025-11 reject novelty 4.0 of 10

    Minimizing a potential from string geometry theory in a simple heterotic model relates the compactification scale to flux quanta and gives Mc ≤ 6.7×10^16 GeV for three generations.

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