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Heterotic String Compactifications on Half-flat Manifolds II

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Sebastien Gurrieri, Andre Lukas, Andrei Micu

High Energy Physics - Theory · Submitted 12 Sep 2007

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Then, the resulting gauge group in four dimensions is still E6 despite the fact that the Levi-Civita connection has SO(6) holonomy.

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arXiv ID0709.1932 (version 1)
Pith IDKLL4SBYE, Pith's permanent record of this paper and its review
CitationAndrei Micu, Andre Lukas, Sebastien Gurrieri. "Heterotic String Compactifications on Half-flat Manifolds II." arXiv:0709.1932 (2007). https://pith.science/paper/KLL4SBYE
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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.44 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; .

In this paper, we continue the analysis of heterotic string compactifications on half-flat mirror manifolds by including the 10-dimensional gauge fields. It is argued, that the heterotic Bianchi identity is solved by a variant of the standard embedding. Then, the resulting gauge group in four dimensions is still E6 despite the fact that the Levi-Civita connection has SO(6) holonomy. We derive the associated four-dimensional effective theories including matter field terms for such compactifications. The results are also extended to more general manifolds with SU(3) structure.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this paper, we continue the analysis of heterotic string compactifications on half-flat mirror manifolds by including the 10-dimensional gauge fields. contribution 0.92 0.84 0.07 asserted 0.91
s1 It is argued, that the heterotic Bianchi identity is solved by a variant of the standard embedding. result 0.80 0.54 0.19 asserted 0.62
s2 Then, the resulting gauge group in four dimensions is still E6 despite the fact that the Levi-Civita connection has SO(6) holonomy. result 0.99 0.74 0.30 asserted 1.00
s3 We derive the associated four-dimensional effective theories including matter field terms for such compactifications. contribution 0.90 0.96 0.14 asserted 1.00
s4 The results are also extended to more general manifolds with SU(3) structure. contribution 0.82 0.90 0.10 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this paper, we continue the analysis of heterotic string compactifications on half-flat mirror manifolds by including the 10-dimensional gauge fields. It is argued, that the heterotic Bianchi identity is solved by a variant of the standard embedding. Then, the resulting gauge group in four dimensions is still E6 despite the fact that the Levi-Civita connection has SO(6) holonomy. We derive the associated four-dimensional effective theories including matter field terms for such compactifications. The results are also extended to more general manifolds with SU(3) structure.

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References
How the literature uses it

24 arXiv papers cite this in 80 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 60 sentences without a confident label

Builds on it 2 papers
  • In [ref] we started to consider the moduli stabilisation problem in the models of [ref] and here we shall continue along the same route in that we make a supergravity analysis of the moduli stabilisation problem in models which contain matter fields.

    Moduli Stabilisation in Heterotic Models with Standard Embedding · Introduction · 0.98

  • For these fields we systematically compute their couplings in the effective action, extending the analysis in [ref] .[For compactifications on a Calabi-Yau threefold a similar analysis has been performed, for example, in [ref] .] However, since the effective action sensitively depends on the choice of the gauge bundle we cannot give a model-independent answer.

    6D Effective Action of Heterotic Compactification on K3 with nontrivial Gauge Bundles · Introduction · 0.80

Uses its method or tool 1 paper
  • The Kähler potential for the above set of fields is obtained from standard dimensional reduction [ref] as [equation] The superpotential is obtained from the generalized Gukov-Vafa-Witten formula [ref] [equation] After inserting the various forms from Eq. [ref] and [ref] and using Eq. [ref] as well as the properties of the half-flat mirror basis given in Section [ref] this leads to [equation] The first term arises from the non-vanishing torsion of the internal space and the second term is due to the non-vanishing H-flux induced by the gauge bundle.

    Moduli Stabilising in Heterotic Nearly K\"ahler Compactifications · Kähler potential and superpotential · 0.92

Uses its data or values 1 paper
Compares with it 2 papers
Cites it as background 12 papers
  • Heterotic compactifications on half-flat mirror manifolds have been studied in Refs. [ref] and, here, we briefly review the main results.

    Generalized Compactification in Heterotic String Theory · Mirror half-flat manifolds · 0.93

  • However, in the heterotic setting there is a dearth of sources and fluxes, and an alternative to turning on fluxes is to replace the compactification Calabi-Yau manifold by SU(3) manifolds known as half-flat mirror manifolds, which bear close resemblance to the original Calabi-Yau manifolds [ref] .

    Power-law Solutions from Heterotic Strings · Introduction · 0.80

  • A more general class of heterotic non Calabi-Yau compactifications on half-flat mirror manifolds – manifolds which appear in the context of type II mirror symmetry with NS flux – has been introduced some time ago in Refs. [ref] .

    Moduli Stabilising in Heterotic Nearly K\"ahler Compactifications · Introduction · 0.97

What it cites · 27 sentences without a confident label

Builds on 3 papers
  • Based on these ideas we will carry out the full reduction for half-flat mirror manifolds [ref] and then extend the results to the generalised half-flat manifolds introduced in Refs. [ref] .

    Gauging the Heisenberg algebra of special quaternionic manifolds · Introduction · 0.93

  • Based on these ideas we will carry out the full reduction for half-flat mirror manifolds [ref] and then extend the results to the generalised half-flat manifolds introduced in Refs. [ref] .

    Heterotic on Half-flat · Introduction · 0.93

  • Based on these ideas we will carry out the full reduction for half-flat mirror manifolds [ref] and then extend the results to the generalised half-flat manifolds introduced in Refs. [ref] .

    Hitchin Functionals in N=2 Supergravity · Introduction · 0.93

Uses the method or tool of 2 papers
  • Instead we will adopt the "adiabatic approach" of Ref. [ref] which is based on the assumption that these new manifolds can be seen as "small" variations of the underlying Calabi–Yau manifold.

    Type IIB Theory on Half-flat Manifolds · Compactification on half-flat mirror manifolds · 0.98

  • To determine the expansion of the 10-dimensional fields into low-energy modes we will be guided by an "adiabatic principle" which has been proposed and successfully applied to type II string theory in Ref. [ref] and has been shown in Ref. [ref] to lead to a consistent description of the gravitational sector in heterotic theories.

    Heterotic on Half-flat · Introduction · 0.85

Cites as background 6 papers
  • More recently, in Refs. [ref] - [ref] such compactifications were classified in terms of $SU(3)$ structures which is the natural way to approach this problem.

    Supersymmetric heterotic string backgrounds · Introduction · 0.95

  • More recently, in Refs. [ref] - [ref] such compactifications were classified in terms of $SU(3)$ structures which is the natural way to approach this problem.

    Heterotic Strings with Torsion · Introduction · 0.95

  • Before we proceed with the computation, we review some of the required properties of manifolds with $SU(3)$ structure and the specific sub-class of half-flat (mirror) manifolds (for a more formal description of manifolds with $SU(3)$ structure see for example [ref] ).

    The intrinsic torsion of SU(3) and G_2 structures · Half-flat SU(3) structure manifolds · 1.00

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