We find the holographic dual to the three classes of superconformal Janus interfaces in N = 4 SYM that preserve three-dimensional N = 4, N = 2, and N = 1 supersymmetry. The solutions are constructed in five-dimensional SO(6) maximal gauged supergravity and are then uplifted to type IIB supergravity. Corresponding to each of the three classes of Janus solutions, there are also AdS 4 × S 1 × S 5 J-fold backgrounds. These J-folds have a non-trivial SL(2, Z) monodromy for the axio-dilaton on the S 1 and are dual to three-dimensional superconformal field theories.

Double Field Theory suggests to view the whole massless sector of closed strings as the gravitational unity. The fundamental symmetries therein, including the O(D, D) covariance, can determine unambiguously how the Standard Model as well as a relativistic point particle should couple to the closed string massless sector. The theory also refines the notion of singularity. We consider the most general, spherically symmetric, asymptotically flat, static vacuum solution to D = 4 Double Field Theory, which contains three free parameters and consequently generalizes the Schwarzschild geometry. Analyzing the circular geodesic of a point particle in string frame, we obtain the orbital velocity as a function of R/(M ∞ G) which is the dimensionless radial variable normalized by mass. The rotation curve generically features a maximum and thus non-Keplerian over a finite range, while becoming asymptotically Keplerian at infinity, R/(M ∞ G) → ∞. The adoption of the string frame rather than Einstein frame is the consequence of the fundamental symmetry principle. Our result opens up a new scheme to solve the dark matter/energy problems by modifying General Relativity at 'short' range of R/(M ∞ G).

We show that for every Sasaki-Einstein manifold, M5, the AdS5 × M5 background of type IIB supergravity admits two universal deformations leading to supersymmetric AdS4 solutions. One class of solutions describes an AdS4 domain wall in AdS5 and is dual to a Janus configuration with N = 1 supersymmetry. The other class of backgrounds is of the form AdS4 × S 1 × M5 with a nontrivial SL(2, Z) monodromy for the IIB axio-dilaton along the S 1 . These AdS4 solutions are dual to three-dimensional N = 1 SCFTs. Using holography we express the S 3 free energy of these theories in terms of the conformal anomaly of the four-dimensional N = 1 SCFT arising from D3-branes on the Calabi-Yau cone over M5.

We study the general requirement for supersymmetric AdS 6 solutions in type IIB supergravity. We employ the Killing spinor technique and study the differential and algebraic relations among various Killing spinor bilinears to find the canonical form of the solutions. Our result agrees precisely with the work of Apruzzi et. al.[1] which used the pure spinor technique. We also obtained the four-dimensional theory through the dimensional reduction of type IIB supergravity on AdS 6 . This effective action is essentially a nonlinear sigma model with five scalar fields parametrizing SL(3, R)/SO(2, 1), modified by a scalar potential and coupled to Einstein gravity in Euclidean signature. We argue that the scalar potential can be explained by a subgroup CSO(1,1,1) ⊂ SL(3, R) in a way analogous to gauged supergravity.

Employing uplift formulae, we uplift supersymmetric AdS 6 black holes from F (4) gauged supergravity to massive type IIA and type IIB supergravity. In massive type IIA supergravity, we obtain supersymmetric AdS 6 black holes asymptotic to the Brandhuber-Oz solution. In type IIB supergravity, we obtain supersymmetric AdS 6 black holes asymptotic to the non-Abelian T-dual of the Brandhuber-Oz solution.

We explicitly truncate N = 8 gauged supergravity in five dimensions to its SU(3)-invariant sector with dilaton and axion fields. We show that this truncation has a solution which is identical to the super Janus constructed in N = 2 gauged supergravity in five dimensions. Then we lift the solution of the SU(3)-invariant truncation to type IIB supergravity by employing the consistent truncation ansatz. We show that the lifted solution falls into a special case of the supersymmetric Janus solutions constructed in type IIB supergravity. Additionally, we also prove that the lifted solution provides a particular example of the consistent truncations of type IIB supergravity on Sasaki-Einstein manifolds.Comment: 32 pages, 2 figures, version published in JHE

In matter coupled F (4) gauged supergravity in six dimensions, we study supersymmetric AdS 6 black holes with various horizon geometries. We find new AdS 2 × Σ g 1 × Σ g 2 horizons 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 AdS 2 × Σ g 1 ×Σ 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.to the AdS 4 black hole cases in [14,15,16], the Bekenstein-Hawking entropy of the black holes nicely matched with the topologically twisted index of 5d U Sp(2N ) gauge theory on Σ g 1 ×Σ g 2 ×S 1 in the large N limit [17,18]. We also considered black hole horizons of Kähler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in Spin (7) manifolds.Pure F (4) gauged supergravity is a consistent truncation of massive type IIA supergravity [4] and type IIB supergravity [19,20,21] on a four-hemisphere. Although it is not known whether it is also a consistent truncation of ten-dimensional supergravity, one can couple vector multiplets to pure F (4) gauged supergravity [22]. In this theory, new fixed points and holographic RG flows were studied in [23,24,25]. See [26,27,28] also for other studies in this theory.In this paper, in matter coupled F (4) gauged supergravity, we continue our study on supersymmetric AdS 6 black holes. We consider F (4) gauged supergravity coupled to three vector multiplets, and its U (1) × U (1)-invariant truncation first considered in [25]. We consider black hole solutions with a horizon which is a product of two Riemann surfaces, AdS 2 × Σ g 1 × Σ g 2 . We derive supersymmetry equations and obtain AdS 2 solutions which was first found in [29]. The AdS 2 horizon exists only for the H 2 × H 2 background, and not for the H 2 × S 2 or S 2 × S 2 backgrounds. We present the full black hole solutions numerically.We also consider black holes with horizons of Kähler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in Spin (7) manifolds. For Cayley four-cycles in Spin(7) manifolds, we consider the SU (2) diag -invariant truncation of F (4) gauged supergravity coupled to three vector multiplets. We find new AdS 2 horizons. It will be interesting to have a field theory interpretation of this AdS 2 solution.In section 2, we review matter coupled F (4) gauged supergravity in six dimensions. In section 3, we consider F (4) gauged supergravity coupled to three vector multiplets, and its U (1) × U (1)invariant truncation. We consider supersymmetric black hole solutions with a horizon which is a product of two Riemann surfaces. In section 4, we consider supersymmetric black hole solutions with horizons of Kähler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in Spin (7) manifolds. In appendix A, we present the equations of motion for the U (1) × U (1)-invariant truncation.Note added: In the final stage of this work, we became aware of [29] which has some overlap with the resu...

Employing the method applied to construct AdS5 solutions from M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we construct supersymmetric AdS3 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 $$ \mathcal{N} $$ N = 2 supergravity, we find $$ \mathcal{N} $$ N = (2, 2) and $$ \mathcal{N} $$ N = (4, 4) supersymmetric AdS3 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 $$ \mathcal{N} $$ N = (2, 2) solution, holographic central charges are finite and well-defined. On the other hand, we could not find $$ \mathcal{N} $$ 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.