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A bstract Employing the method applied to construct AdS 5 solutions from M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we construct supersymmetric AdS 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 N = 2 supergravity, we find N = (2, 2) and N = (4, 4) supersymmetric AdS 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 N = (2, 2) solution, holographic central charges are finite and well-defined. On the other hand, we could not find 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.

In matter coupled F(4) gauged supergravity in six dimensions, we study supersymmetric AdS6 black holes with various horizon geometries. We find new AdS2×Σg1×Σg2\\[ Ad{S}_2\\times {\\varSigma}_{{\\mathfrak{g}}_1}\\times {\\varSigma}_{{\\mathfrak{g}}_2} \\] horizons with g\\[ \\mathfrak{g} \\]1> 1 and g\\[ \\mathfrak{g} \\]2> 1, and present the black hole solution numerically. The full black hole is an interpolating geometry between the asymptotically AdS6 boundary and the AdS2×Σg1×Σg2\\[ Ad{S}_2\\times {\\varSigma}_{{\\mathfrak{g}}_1}\\times {\\varSigma}_{{\\mathfrak{g}}_2} \\] horizon. We also find black holes with horizons of Kähler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in Spin(7) manifolds.

A bstract In F (4) gauged supergravity in six dimensions, we study supersymmetric AdS 6 black holes with various horizon geometries. We find a new Ad S 2 × Σ g 1 × Σ g 2 horizon solution with g 1 > 1 and g 2 > 1 , and present the black hole solution numerically. The full black hole is an interpolating geometry between the asymptotically AdS 6 boundary and the Ad S 2 × Σ g 1 × Σ g 2 horizon. We calculate the Bekenstein-Hawking entropy of the black hole and find a match with the recently calculated topologically twisted index of 5d USp(2 N ) gauge theory on Σ g 1 × Σ g 2 × S 1 in the large N limit. We also find black hole horizons of Kähler four-cycles in Calabi-Yau fourfolds and on Cayley four-cycles in Spin(7) manifolds.

A bstract We construct multi-charged AdS 3 × ⅀ × Σ g and AdS 2 × ⅀ × Σ g solutions from M5-branes and D4-branes wrapped on a direct product of spindle, ⅀, and Riemann surface, Σ g . Employing uplift formula, we obtain these solutions by uplifting the multi-charged AdS 3 × ⅀ and AdS 2 × ⅀ solutions to seven and six dimensions, respectively. We further uplift the solutions to eleven-dimensional and massive type IIA supergravity and calculate the holographic central charge and the Bekenstein-Hawking entropy, respectively. We perform the gravitational block calculations and, for the AdS 3 × ⅀ × Σ g solutions, the result precisely matches the holographic central charge from the supergravity solutions.

A bstract Employing the method applied to M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we study D4-branes wrapped on a disk with a non-trivial holonomy at the boundary. In F (4) gauged supergravity in six dimensions, we find supersymmetric AdS 4 solutions and uplift the solutions to massive type IIA supergravity. We calculate the holographic free energy of dual three-dimensional superconformal field theories.

A bstract Employing the method applied to M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we study M2-branes on a disk with non-trivial holonomies at the boundary. In four-dimensional U (1) 4 -gauged N = 2 supergravity, we find supersymmetric AdS 2 solutions from M2-branes wrapped on a topological disk in Calabi-Yau two-, three- and four-folds. We uplift the solutions to eleven-dimensional supergravity. For the solutions from topological disk in Calabi-Yau four-folds, the Bekenstein-Hawking entropy is finite and well-defined. On the other hand, from the topological disk in Calabi-Yau two- and three-folds, we could not find solutions with finite Bekenstein-Hawking entropy.

A bstract By extending the method developed by Arav, Gauntlett, Roberts and Rosen, we construct supersymmetric AdS 2 × ⅀ solutions of gauged N = 8 supergravity which are asymptotic to the SU(3) × U (1)-invariant Warner fixed point, where ⅀ is a spindle. The Warner fixed point is dual to the mass-deformed ABJM theory. The solutions are in the anti-twist class. We numerically calculate the Bekenstein-Hawking entropy of the presumed black holes with the AdS 2 × ⅀ horizon.

A bstract We construct supersymmetric AdS 3 × Σ solutions with baryonic charge in the Betti-vector truncation of five-dimensional gauged N = 4 supergravity where Σ is a spindle. The truncation is obtained from type IIB supergravity on AdS 5 × T 1,1 . The solutions realize supersymmetry by the anti-twist. The dual field theories are 2d N = (0, 2) SCFTs from the Klebanov-Witten theory compactified on a spindle. We calculate the holographic central charge of the solutions and it precisely matches the result from the gravitational block.

A bstract We provide the spindle interpretations of previously known solutions, AdS 3 × Σ × S 1 × K E 2 + × T 2 of type IIB supergravity and AdS 2 × Σ × S 1 × K E 4 + × T 2 of eleven-dimensional supergravity, where Σ is a spindle factor. For the AdS 3 solutions, the internal space of Σ × S 1 × K E 2 + was previously known as the Y p , q manifold, which shares the identical topology of the Y p , q manifolds. Unlike the previously known spindle solutions, the gauged supergravity origin and the field theory dual of the solutions are not clear at the moment. We perform the flux quantizations and calculate the holographic central charge and the Bekenstein-Hawking entropy of the presumed black hole solutions, respectively.