  Two-dimensional (2D) jet tomography is a promising tool to study jet medium
modification in high-energy heavy-ion collisions. It combines gradient
(transverse) and longitudinal jet tomography for selection of events with
localized initial jet production positions. It exploits the transverse
asymmetry and energy loss that depend, respectively, on the transverse gradient
and jet path length inside the quark-gluon plasma (QGP). In this study, we
employ the 2D jet tomography to study medium modification of the jet shape of
$\gamma$-triggered jets within the linear Boltzmann transport (LBT) model for
jet propagation in heavy-ion collisions. Our results show that jets with small
transverse asymmetry ($A_N^{\vec{n}}$) or small $\gamma$-jet asymmetry
($x_{J\gamma}=p_T^{\rm jet}/p_T^\gamma$) exhibit a broader jet shape than those
with larger $A_N^{\vec{n}}$ or $x_{J\gamma}$, since the former are produced at
the center and go through longer path lengths while the later are off-center
and close to the surface of the QGP fireball. In events with finite values of
$A_N^{\vec{n}}$, jet shapes are asymmetric with respect to the event plane.
Hard partons at the core of the jet are deflected away from the denser region
while soft partons from the medium response at large angles flow toward the
denser part of QGP. Future experimental measurements of these asymmetric
features of the jet shape can be used to study the transport properties of jets
and medium responses.
