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

TL;DR

This paper computes a superstring scattering amplitude in AdS5 x S5 using pure spinor formalism, expressing it as a superspace integral involving supergravity and super-Yang-Mills fields.

Contribution

It presents a novel calculation of mixed open-closed superstring amplitudes in AdS5 x S5 within the pure spinor framework, linking string theory to superspace formulations.

Findings

Amplitude expressed as a harmonic superspace integral.

Connection between superstring amplitudes and superfield formulations.

Tree-level amplitude involving supergravity and super-Yang-Mills states.

Abstract

Using the pure spinor formalism, a particular superstring scattering amplitude involving one closed string and $N$ open string vertex operators in $\mathrm{AdS}{}_5 \times \mathrm{S}^5$ is studied. It is shown that the tree-level amplitude containing one supergravity state and $N$ super-Yang-Mills states 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 supergravity and super-Yang-Mills superfields.