AdS3 vacua realising $$ \mathfrak{osp} $$(n|2) superconformal symmetry

We derive necessary and sufficient conditions for warped AdS2 solutions of Type II supergravity to preserve $$ \mathcal{N} $$ N = 1 supersymmetry, in terms of bispinors. Such solutions generically support an SU(3)-structure on their internal manifold M8, which can experience an enhancement to a G2-structure. We perform an SU(3)-structure torsion classes analysis and express the fluxes and other physical fields in terms of these, in general. We use our results to derive two new classes of AdS2 solutions. In (massive) Type IIA supergravity we derive an $$ \mathcal{N} $$ N = 1 supersymmetric class for which M8 decomposes as a weak G2-manifold foliated over an interval and which is locally defined in terms of a degree three polynomial. In Type IIB supergravity we find a class of AdS2 × S2 × CY2 × Σ2 solutions preserving small $$ \mathcal{N} $$ N = 4 supersymmetry, governed by a harmonic function on Σ2 and partial differential equations reminiscent of D3-D7-brane configurations.

G-structures for black hole near-horizon geometries

Legramandi,

Macpherson,

Passias

2024

Holographic $$ \frac{1}{2} $$-BPS surface defects in ABJM

Lozano,

Macpherson,

Petri

et al. 2024

We study the class of AdS3 × ℂℙ3 solutions to massive Type IIA supergravity with $$ \mathfrak{osp} $$ osp (6|2) superconformal algebra recently constructed in [1]. These solutions are foliations over an interval preserving $$ \mathcal{N} $$ N = (0, 6) supersymmetry in two dimensions, that in the massless limit can be mapped to the AdS4 × ℂℙ3 solution of ABJM/ABJ. We show that in the massive case extra NS5-D8 branes, that we interpret as $$ \frac{1}{2} $$ 1 2 -BPS surface defect branes within the ABJ theory, backreact in the geometry and turn one of the 3d field theory directions onto an energy scale, generating a flow towards a 2d CFT. We construct explicit quiver field theories that we propose flow in the IR to the (0, 6) SCFTs dual to the solutions. Finally, we show that the AdS3 solutions realise geometrically, in terms of large gauge transformations, an extension to the massive case of Seiberg duality in ABJ theories proposed in the literature.

On/off scale separation

Farakos,

Morittu,

Tringas

2023

We discuss minimally supersymmetric AdS3 flux vacua of massive type IIA supergravity on G2-orientifolds. We find that configurations with broken scale-separation can be within finite distance from scale-separated ones, while both remain at large volume, weak coupling and have moduli stabilization. The transition is achieved with the use of a D4-brane modulus, which allows the F4 flux to jump, and has an effective potential always accessible to the three-dimensional low-energy theory. Our analysis further allows us to check the distance conjecture quantitatively, as we can track explicitly the masses of the KK modes.