diff --git a/Manuscript/sfBSE.tex b/Manuscript/sfBSE.tex
index 8164012..d13308b 100644
--- a/Manuscript/sfBSE.tex
+++ b/Manuscript/sfBSE.tex
@@ -24,7 +24,11 @@
 	\affiliation{\LCPQ}
 
 \begin{abstract}
-\alert{Here comes the abstract.}
+Like adiabatic time-dependent density-functional theory (TD-DFT), the Bethe-Salpeter equation (BSE) formalism in its static approximation is ``blind'' to double (and higher) excitations, which are, for example, ubiquitous in conjugated molecules like polyenes. 
+Here, we apply the spin-flip technique to the BSE formalism of many-body perturbation theory in order to access double excitations.
+The present scheme is based on a spin-unrestricted version of the $GW$ approximation employed to compute the charged excitations and screened Coulomb potential required for the BSE calculations. 
+Dynamical corrections to the static BSE optical excitations are taken into account via an unrestricted generalization of our recently developed (renormalized) perturbative treatment.
+The performance of the present spin-flip BSE formalism is illustrated by computing the vertical excitation energies of the beryllium atom, the hydrogen molecule, and cyclobutadiene.
 %\bigskip
 %\begin{center}
 %	\boxed{\includegraphics[width=0.5\linewidth]{TOC}}