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Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_\infty$ algebra

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arxiv 1806.08367 v1 pith:B2N33KG5 submitted 2018-06-21 hep-th math-phmath.DGmath.MP

classification hep-thmath-phmath.DGmath.MP
keywords superpotentialactionalgebrachern--simonscomplexdeformationsfiniteheterotic
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abstract

We consider finite deformations of the Hull--Strominger system. Starting from the heterotic superpotential, we identify complex coordinates on the off-shell parameter space. Expanding the superpotential around a supersymmetric vacuum leads to a third-order Maurer--Cartan equation that controls the moduli. The resulting complex effective action generalises that of both Kodaira--Spencer and holomorphic Chern--Simons theory. The supersymmetric locus of this action is described by an $L_3$ algebra.

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Cited by 3 Pith papers

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

  1. Heterotic moduli, the double extension and the alpha'^2 metric

    hep-th 2026-07 conditional novelty 6.0 of 10

    The heterotic moduli-space metric picks up a torsion-induced complex-structure–hermitian mixing term at order α'^2, while the Kähler potential keeps its functional form.

  2. 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.

  3. Universal geometry as an organising principle for heterotic moduli

    hep-th 2026-06 unverdicted novelty 4.0 of 10

    Universal geometry is shown to be consistent with the alpha'^2-corrected heterotic supersymmetry equations when the composite Hull connection is used as the universal tangent-bundle connection.

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