  Current Large Hadron Collider (LHC) analyses are blind to compressed
supersymmetry (SUSY) models with sleptons near the lightest super partner (LSP)
in mass: $m_{\tilde{l}} - m_{\tilde{\chi}_1^0} \equiv \Delta m \lesssim 60$
GeV. We present a search sensitive to the very compressed range $3~\text{GeV} <
\Delta m < 24~\text{GeV}$ using the channel $p p \rightarrow \tilde{l}^+
\tilde{l}^- +\rm{jet} \rightarrow$ $l^+ l^- \tilde{\chi}_1^0 \tilde{\chi}_1^0
+\rm{jet}$ with soft same-flavor leptons and one hard jet from initial state
radiation ($p_{\rm T}^j >100$ GeV). The sleptons recoil against the jet
boosting them and their decay products, making the leptons detectable and
providing substantial missing transverse momentum. We use the kinematic
variable $m_{\rm T 2}$ along with a different-flavor control region to reduce
the large standard model backgrounds and control systematic uncertainty. We
find the analysis should allow LHC14 with $100~\text{fb}^{-1}$ to search for
degenerate left-handed selectrons and smuons in the compressed region up to
$m_{\tilde{l}_L} \lesssim 150$ GeV. In addition, it should be sensitive to
$m_{\tilde{l}_L} \lesssim 110$ GeV for the very challenging case of
auto-concealed SUSY, in which left-handed sleptons decay to the Kaluza-Klein
tower of a modulino LSP which lives in $d=6$ extra dimensions. In both the
compressed spectrum and auto-concealed SUSY scenarios this analysis will need
more data to improve on LEP2 limits for right-handed sleptons due to their
smaller cross sections.
