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String theory is one of the leading candidates for a theory of everything, that is, a theory that unifies all 4 basic forces of nature, viz, gravity, the electromagnetic force, the strong force and the weak force. The last 3 forces mentioned above are described by quantum mechanics. This is the link between quantum mechanics and string theory.

ps- If you believe in watertight definitions, then quantum mechanics is all the quantum theory till Dirac's equation. I'm taking quantum mechanics as the theory of the small as such, that is, all of the phenomena of the small from Plank till the standard model and beyond.

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