The $\mathbf{AdS_5 \times S^5}$ Superstring

preprint2020arXivOpen access

The duality between the type IIB superstring theory in an $AdS_5 \times S^5$ background with $N$ units of five-form flux and ${\cal N} =4$ super Yang--Mills theory with a $U(N)$ gauge group has been studied extensively. My version of the construction of the superstring world-sheet action is reviewed here. This paper is dedicated to Michael Duff on the occasion of his 70th birthday.

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The $\mathbf{AdS_5 \times S^5}$ Superstring

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The AdS5×S5\mathbf{AdS_5 \times S^5}AdS5​×S5 Superstring

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The $\mathbf{AdS_5 \times S^5}$ Superstring