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Using the pure spinor formalism, a particular superstring scatteringamplitude involving one closed string and $N$ open string vertex operators in$\mathrm{AdS}{}_5 \times \mathrm{S}^5$ is studied. It is shown that thetree-level amplitude containing one supergravity state and $N$ super-Yang-Millsstates located on D3-branes near the AdS${}_5$ boundary can be expressed as a$d=4$ ${\cal N}=4$ harmonic superspace integral in terms of the supergravityand super-Yang-Mills superfields.

Open-closed superstring amplitudes using vertex operators in $\mathrm{AdS}_5 \times \mathrm{S}^5$