10 problems

A non-supersymmetric anti-de Sitter solution is a solution with negative cosmological constant that does not preserve supersymmetry. Ooguri–Vafa conjecture. Any non-supersymmetric…

Let the string theories under consideration be high-dimensional, genuine string theories rather than the kinematical strands described earlier, and let the comparison theories be c…

Let $\Lambda<0$ be a negative cosmological constant, and let the gluing solution consist of the $q=4$ Garfinkle continuously self-similar interior joined to a Vaidya exterior. A so…

Consider the Einstein vacuum equations with a negative cosmological constant and asymptotically anti-de Sitter boundary conditions. A black resonator is an asymptotically AdS black…

Let Kerr-AdS be a rotating asymptotically anti-de Sitter black-hole solution of the Einstein vacuum equations, and impose Dirichlet boundary conditions. A generic perturbation of i…

Consider the spherically symmetric Einstein--Maxwell--Klein--Gordon system with scalar charge $q_{0}=0$, subject to either Dirichlet or Neumann boundary conditions. Let stationary…

The pure anti-de Sitter spacetime has metric … The boundary conditions are optimally dissipative. Asymptotic stability conjecture. Anti-de Sitter spacetime is asymptotically stable…

Let AdS denote anti-de Sitter space-time, and consider the Einstein-scalar field equations with fully reflective boundary conditions at the conformal boundary. AdS instability conj…

Consider a one-parameter family of $D$-dimensional Anti-de Sitter metrics $g_{\mu\nu}(\Lambda)$ arising as quantum-gravity low-energy effective theories, labelled by their cosmolog…

For negative cosmological constant, Anti-de Sitter spacetime is the maximally symmetric solution, and Kerr-Anti-de Sitter denotes the corresponding family of black-hole spacetimes.…