<p>We construct <i>AdS</i><sub>3</sub> × <i>Y</i><sub>7</sub> solutions of type IIB supergravity, where <i>Y</i><sub>7</sub> is a smooth <i>S</i><sup>5</sup> bundle over a spindle Σ(<i>n</i><sub><i>N</i></sub>, <i>n</i><sub><i>S</i></sub>), which are dual to 𝒩 = (0, 2) SCFTs in <i>d</i> = 2. The solutions are constructed using the <i>D</i> = 5 STU <i>U</i>(1)<sup>3</sup> gauged supergravity theory coupled to a hyperscalar charged under <i>U</i>(1)<sub><i>B</i></sub>. We investigate spindle solutions with two new features: first, we allow (<i>n</i><sub><i>N</i></sub>, <i>n</i><sub><i>S</i></sub>) to be non-coprime integers, including orbifolds of the round <i>S</i><sup>2</sup>, which can lead to non-unique, inequivalent uplifts, distinguished by the hyperscalar spectra, for given magnetic flux through the spindle. Second, we also allow the hyperscalar to vanish at the poles leading to solutions carrying non-vanishing <i>U</i>(1)<sub><i>B</i></sub> flux. The new hyperscalar <i>AdS</i><sub>3</sub> solutions can naturally arise as the endpoint of RG flows, triggered by relevant hyperscalar deformations of the <i>AdS</i><sub>3</sub> solutions of the STU model.</p>

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Spindle solutions, hyperscalars and smooth uplifts

  • Igal Arav,
  • Jerome P. Gauntlett,
  • Matthew M. Roberts,
  • Christopher Rosen

摘要

We construct AdS3 × Y7 solutions of type IIB supergravity, where Y7 is a smooth S5 bundle over a spindle Σ(nN, nS), which are dual to 𝒩 = (0, 2) SCFTs in d = 2. The solutions are constructed using the D = 5 STU U(1)3 gauged supergravity theory coupled to a hyperscalar charged under U(1)B. We investigate spindle solutions with two new features: first, we allow (nN, nS) to be non-coprime integers, including orbifolds of the round S2, which can lead to non-unique, inequivalent uplifts, distinguished by the hyperscalar spectra, for given magnetic flux through the spindle. Second, we also allow the hyperscalar to vanish at the poles leading to solutions carrying non-vanishing U(1)B flux. The new hyperscalar AdS3 solutions can naturally arise as the endpoint of RG flows, triggered by relevant hyperscalar deformations of the AdS3 solutions of the STU model.