On the $AdS_5\times S^5$ Solution of Superstring Field Theory

TL;DR

This paper constructs the $AdS_5\times S^5$ solution within type IIB superstring field theory up to third order in RR flux, confirms its supersymmetry, and explores its all-order form in the pp-wave limit, discussing potential obstructions.

Contribution

It provides the first explicit third-order solution of the $AdS_5\times S^5$ background in superstring field theory and analyzes its supersymmetry and spectrum.

Findings

Successfully derived the $AdS_5\times S^5$ solution to third order in RR flux.

Confirmed the supersymmetry of the solution via gauge transformations.

Identified the massless RR axion in the fluctuation spectrum.

Abstract

We determine the $AdS_5\times S^5$ solution of type IIB superstring field theory (SFT) to the third order in the expansion with respect to Ramond-Ramond (RR) flux, demonstrate its supersymmetry from the SFT gauge transformations, and identify the massless RR axion in the spectrum of linearized fluctuations. We present an all-order solution in the pp-wave limit and comment on potential obstructions to, and the existence of, the all-order $AdS_5\times S^5$ solution.