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Small gauge transformations and universal geometry in heterotic theories

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arxiv 1904.07578 v4 pith:MXIELL4Q submitted 2019-04-16 hep-th

Jock McOrist , Roberto Sisca This is my paper
classification hep-th
keywords gaugeholomorphicmodulismallspacetransformationschoicefixing
verification ladder T0 review T1 audit T2 compute T3 formal
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The first part of this paper describes in detail the action of small gauge transformations in heterotic supergravity. We show a convenient gauge fixing is `holomorphic gauge' together with a condition on the holomorphic top form. This gauge fixing, combined with supersymmetry and the Bianchi identity, allows us to determine a set of non-linear PDEs for the terms in the Hodge decomposition. Although solving these in general is highly non-trivial, we give a prescription for their solution perturbatively in alpha' and apply this to the moduli space metric. The second part of this paper relates small gauge transformations to a choice of connection on the moduli space. We show holomorphic gauge is related to a~choice of holomorphic structure and Lee form on a `universal bundle'. Connections on the moduli space have field strengths that appear in the second order deformation theory and we point out it is generically the case that higher order deformations do not commute.

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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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