8 problems

Let $N$ denote the rank parameter of a gauge theory, and consider the large-$N$ limit. ’t Hooft's conjecture. Large-$N$ gauge theories are dual to closed string theories. The sourc…

Wilson-loop gauge/string duality conjecture. The gauge/string duality should extend beyond the partition function and hold for Wilson loop expectations.

Higher-genus gauge/string duality conjecture. The torus gauge/string duality should admit a generalization to every genus $g\geqslant 2$, involving not only the expansion of the he…

Yang–Mills/string duality conjecture. The observables of $\mathrm{YM}_2$ should be related to string theory.

Let a large-$N$ SU($N$) toric quiver SCFT be dual to a Sasaki–Einstein five-manifold $SE$, let $r_i$ be the associated zigzag-path charges, and let $\operatorname{vol}(SE)$ and…

String theory has a non-perturbative formulation problem, motivating proposed dual descriptions in terms of gauge theories. Gauge/string duality conjecture. String theory in some b…

Let $M$ be a three-dimensional manifold such that its cotangent bundle $T^*M$ is Calabi–Yau. Aganagic–Marino conjecture. Chern–Simons theory on $M$ is dual to topological strings p…

Let the matrix harmonic oscillator quantum mechanics be the model discussed in Section. A string dual means a string-theoretic dual description of this quantum-mechanical matrix mo…