We classify N = 2 Minkowski 4 solutions of IIB supergravity with an SU (2) R symmetry geometrically realized by an S 2 -foliation in the remaining six dimensions. For the various cases of the classification, we reduce the supersymmetric system of equations to PDEs. These cases often accommodate systems of intersecting branes and half-maximally supersymmetric AdS 5,6,7 solutions when they exist. As an example, we analyze the AdS 6 case in more detail, reducing the supersymmetry equations to a single cylindrical Laplace equation. We also recover an already known linear dilaton background dual to the (1, 1) Little String Theory (LST) living on NS5-branes, and we find a new Minkowski 5 linear dilaton solution from brane intersections. Finally, we also discuss some simple Minkowski 4 solutions based on compact conformal Calabi-Yau manifolds.2 This is not the only way to realise SU(2), indeed it is possible to decompose M 6 as a fibration of S 3 over some M 3 in terms of the Maurer-Cartan of SU(2). It is however unclear whether anything beyond the SU(2) × U(1) preserving squashed 3-sphere is compatible with SU(2) R . When it is compatible one can always T-dualise on the Hopf fibre and end up in a class with a round S 2 factor. Thus up to T-duality the combined results of this work and [26] cover such cases

No abstract

We consider the Hawking radiation emitted by an evaporating black hole in JT gravity and compute the entropy of arbitrary subsets of the radiation in the slow evaporation limit, and find a zoo of possible island saddles. The Hawking radiation is shown to have long range correlations. We compute the mutual information between early and late modes and bound from below their squashed entanglement. A small subset of late modes are shown to be correlated with modes in a suitably large subset of the radiation previously emitted as well as later modes. We show how there is a breakdown of the semi-classical approximation in the form of a violation of the Araki–Lieb triangle entropy inequality, if the interior of the black hole and the radiation are considered to be separate systems. Finally, we consider how much of the radiation must be collected, and how early, to recover information thrown into the black hole as it evaporates.

We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. This elegant structure does not survive to more complicated geometries: in the case of a two segments subregion in AdS 3 , complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion.