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<p>G-structure techniques are used to construct broad classes of circle compactifications of Mink<sub><i>D</i>+1</sub> solutions to Mink<sub><i>D</i></sub> embedded into type II supergravity for <i>D</i> = 1, . . . 5. Under certain assumptions we show that the conditions that imply supersymmetry for Mink<sub><i>D</i>+1</sub> solutions imply those of Mink<sub><i>D</i></sub> solutions, but that Bianchi identities of the fluxes must be modified. This realises an off shell solution generating technique for supersymmetric solutions or a “supersymmetry generating” technique. Along the way it is necessary for us to derive G structure conditions for general <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27002_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, 0) supersymmetric Mink<sub>2</sub> solutions and a restricted class of Mink<sub>1</sub> solutions. We apply our results to construct some simple Minkowski flux vacua before turning our attention to “solitonic branes” which are generalisations of the AdS soliton. We are able to generalise known examples in two ways: 1) to embed them in terms of generic Sasaki Einstein manifolds. 2) To modify the harmonic factor to include D<i>p</i> brane sources at one end of the space.</p>

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Circle compactifications of MinkowskiD solutions, flux vacua and solitonic branes

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  • 发表日期：

    2025年8月19日

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  • Niall T. Macpherson,
  • Paul Merrikin,
  • Ricardo Stuardo

摘要

G-structure techniques are used to construct broad classes of circle compactifications of MinkD+1 solutions to MinkD embedded into type II supergravity for D = 1, . . . 5. Under certain assumptions we show that the conditions that imply supersymmetry for MinkD+1 solutions imply those of MinkD solutions, but that Bianchi identities of the fluxes must be modified. This realises an off shell solution generating technique for supersymmetric solutions or a “supersymmetry generating” technique. Along the way it is necessary for us to derive G structure conditions for general N \( \mathcal{N} \) = (1, 0) supersymmetric Mink2 solutions and a restricted class of Mink1 solutions. We apply our results to construct some simple Minkowski flux vacua before turning our attention to “solitonic branes” which are generalisations of the AdS soliton. We are able to generalise known examples in two ways: 1) to embed them in terms of generic Sasaki Einstein manifolds. 2) To modify the harmonic factor to include Dp brane sources at one end of the space.