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<p>We find a curious duality between the bosonic sector of heterotic supergravity and the noncritical bosonic string with conformal anomaly. This allows us to map the Mink<sub>4</sub> × <i>S</i><sup>3</sup> × <i>S</i><sup>3</sup> vacuum of the bosonic string to a new warped <i>ℝ</i> × (<i>T</i><sup>1,1</sup> × Mink<sub>4</sub>) vacuum of the heterotic theory, which turns out to be supersymmetric, preserving 1/4 of the supersymmetry. We perform consistent dimensional reduction of the heterotic theory on the warped <i>ℝ</i> × <i>T</i><sup>1,1</sup> internal space and obtain <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25859_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 1, <i>D</i> = 4 supergravity, with one complex scalar multiplet and SU(2) × SU(2) Yang-Mills multiplets, where the gauge symmetry is originated from the isometry group of <i>T</i><sup>1,1</sup>.</p>

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Consistent warped ℝ × T1,1 reduction of heterotic supergravity

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  • 发表日期：

    2025年3月27日

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  • Liang Ma,
  • H. Lü

摘要

We find a curious duality between the bosonic sector of heterotic supergravity and the noncritical bosonic string with conformal anomaly. This allows us to map the Mink4 × S3 × S3 vacuum of the bosonic string to a new warped ℝ × (T1,1 × Mink4) vacuum of the heterotic theory, which turns out to be supersymmetric, preserving 1/4 of the supersymmetry. We perform consistent dimensional reduction of the heterotic theory on the warped ℝ × T1,1 internal space and obtain N \( \mathcal{N} \) = 1, D = 4 supergravity, with one complex scalar multiplet and SU(2) × SU(2) Yang-Mills multiplets, where the gauge symmetry is originated from the isometry group of T1,1.