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A story of non-conformal branes: spindles, disks, circles and black holes
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abstract
We consider the $(p+2)$-dimensional gauged supergravities arising as a consistent truncation of type II on $S^{8-p}$, which are associated with the near-horizon limit of D$p$-branes, for $p=2,4,5,6$ (and NS5-branes for $p=5$). In a truncation of these theories with only abelian gauge fields and scalars, we find several classes of new solutions, with and without supersymmetry. Our ansatz for such backgrounds is inspired by the recent progress in the study of branes wrapped on orbifolds, but unlike those examples we consider "non-conformal branes", $i.e.$ no Anti de Sitter factors in the metric. Focusing on cases with non-trivial gauge fields, we can divide the solutions that we present in three categories: 1) branes wrapping Riemann surfaces, spindles and disks, 2) branes wrapped on a circle with a holonomy for the gauge field along the circle and 3) electrically charged black holes in gauged supergravity, which uplift to rotating branes in ten dimensions. We carefully analyze the conditions for supersymmetry in all these cases.
Forward citations
Cited by 4 Pith papers
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Supersymmetric $\mathbb{WCP}^n$, AdS near horizons and orbifolds
Weighted projective spaces WCP² and WCP³ can be made supersymmetric for tuned integer weights, yielding new AdS₅×WCP²×S¹, AdS₄×WCP³, and AdS₃×WT(1,1) supergravity solutions.
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Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists
Exact partition functions for N=(2,2) theories on spindles are computed via localisation for both twist and anti-twist, yielding a unified formula.
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Monodromy Defects in Maximally Supersymmetric Yang-Mills Theories from Holography
Codimension-2 monodromy defects in p=2,3,4 maximal SYM are realized by re-interpreting spindle solutions, and their defect entanglement entropy is shown to be proportional to the ambient free energy.
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Non-conformal branes wrapped on a disk
Disk solutions from non-conformal Dp/NS5-brane spindles are classified by charge sectors; compact disks mostly show monopoles and smeared branes, while non-compact disks mostly do not.
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