7 problems

Kaigorodov duality conjecture. For a string/M-theory on the Kaigorodov spaces, a compact manifold is dual to a conformal field theory in an infinitely boosted frame with constant m…

Let $X_a$, for $a=1,\ldots,d$, be matrix degrees of freedom, and consider the states invariant under the adjoint action of $U(N)$ and the vector action of $SO(d)$ (or $O(d)$). AdS…

Maldacena's conjecture. The strongly coupled maximally supersymmetric one-dimensional $U(N)$ gauge theory is equivalent to weakly coupled type II string theory on the black 0-brane…

AdS/CFT conjecture. AdS/CFT should hold in general settings, although no rigorous proof is currently known.

Strominger's dS/CFT conjecture. Such a duality could happen between the bulk and the future or past infinity of de Sitter spacetime, or between the bulk and the cosmological horizo…

In the holographic principle, quantum gravity in $d+1$ dimensions is loosely understood to be equivalent to a $d$-dimensional field theory. Maldacena conjecture. Quantum gravity in…

Klebanov–Witten conjecture. The gravity dual of this superconformal field theory is given by type IIB superstring theory on