We construct a new family of three-charge -BPS smooth solutions that have the same charges as the supersymmetric D1D5P black hole and are non-invariant under rotations of the compact manifold. We work in type IIB string theory on T4 and we show how the supergravity and BPS equations reduce to a linear system, arranged in two ‘layers’ of partial differential equations. We then build two solutions of our system of equations: the first is a superdescendant three-charge solution, obtained by acting with rigid symmetries on a seed two-charge solution, on which we can perform a non-trivial check for the system of equations; the second is a new superstratum solution that has both internal and external excitations. We then describe the CFT heavy states dual to these new geometries.
We compute four-point functions in the Heavy-Heavy-Light-Light limit involving a large family of $$ \frac{1}{8} $$ -BPS heavy states whose dual supergravity solutions are explicitly known, avoiding the use of Witten diagrams. This is achieved by using the AdS/CFT dictionary of type IIB supergravity on AdS3 × S3 × ℳ4 that maps supersymmetric heavy operators whose conformal dimension is the order of the central charge to explicit asymp-totically AdS supergravity solutions. Using the Ward Identities for the generators of the $$ \mathcal{N}=\left(4,4\right) $$ superconformalSU(2)Kac-Moodyalgebra,wecanrelateallofthesefour-point functions to each other and to other known four-point functions involving $$ \frac{1}{4} $$ -BPS heavy states, furnishing non-trivial checks of the computations. Finally, the Ward Identities can be employed to reconstruct the all-light four-point functions, providing the first holographic correlators of single-trace operators computed in AdS3 involving $$ \frac{1}{8} $$ -BPS operators.
We explore the holographic properties of non-perturbative vacuum decay in anti-de Sitter ( ) geometries. To this end, we consider a gravitational theory in a metastable state, which decays into an of lower vacuum energy via bubble nucleation, and we employ the Ryu–Takayanagi conjecture to compute the entanglement entropy in its alleged holographic dual. Our analysis connects the nucleation and growth of a vacuum bubble to a relevant deformation and a subsequent renormalization group (RG) flow in the boundary theory, with a c -function. We provide some evidence for the claim and comment on the holographic interpretation of off-centred or multiple bubbles. We also frame the issue in the formalism of Holographic Integral Geometry, highlighting some consequences on the structure of the holographic RG flow and recovering the standard holographic RG as a limiting case.
We construct solutions of IIB supergravity dual to non-supersymmetric states of the D1D5 system. These solutions are constructed as perturbations carrying both left and right moving momentum around the maximally rotating D1D5 ground state at linear order. They are found by extending to the asymptotically flat region the geometry generated in the decoupling limit by the action of left and right R-currents on a known D1D5 microstate. The perturbations are regular everywhere and do not carry any global charge. We also study the near-extremal limit of the solutions and derive the first non-trivial correction to the extremal geometry.