D3-branes and M5-branes wrapped on a topological disc

Abstract

Employing the method applied to construct $Ad{S}_5$ solutions from M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we construct supersymmetric $Ad{S}_3$ solutions from D3-branes and M5-branes wrapped on a disc with non-trivial holonomies at the boundary. In five-dimensional $U(1{)}^3$-gauged $\mathcal{N}=2$ supergravity, we find $\mathcal{N}=(2,2)$ and $\mathcal{N}=(4,4)$ supersymmetric $Ad{S}_3$ solutions. We uplift the solutions to type IIB supergravity and obtain D3-branes wrapped on a topological disc. We also uplift the solutions to eleven-dimensional supergravity and obtain M5-branes wrapped on a product of topological disc and Riemann surface. For the $\mathcal{N}=(2,2)$ solution, holographic central charges are finite and well-defined. On the other hand, we could not find $\mathcal{N}=(4,4)$ solution with finite holographic central charge. Finally, we show that the topological disc we obtain is, in fact, identical to a special case of the multi-charge spindle solution.

arXiv commentv3: 31 pages, 3 figures, published version

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• Holographic duals of M5-branes on an irregularly punctured sphere
• N=(0,4) Black String Chains
• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• M2-branes wrapped on a topological disk
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Holographic Generalised Gukov-Witten Defects
• Type IIA embeddings of $D=5$ minimal gauged supergravity via Non-Abelian T-duality
• Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity
• M5-branes wrapped on four-dimensional orbifolds