  We study junctions consisting of confining strings in N=1 supersymmetric
large N gauge theories by means of the gauge/gravity correspondence. We realize
these junctions as D-brane configurations in infrared geometries of the
Klebanov-Strassler (KS) and the Maldacena-Nunez (MN) solutions. After
discussing kinematics associated with the balance of tensions, we compute the
energies of baryon vertices numerically. In the KS background, baryon vertices
give negative contributions to the energies. The results for the MN background
strongly suggest that the energies of baryon vertices exactly vanish, as in the
case of supersymmetric (p,q)-string junctions. We find that brane
configurations in the MN background have a property similar to the holomorphy
of the M-theory realization of (p,q)-string junctions. With the help of this
property, we analytically prove the vanishing of the energies of baryon
vertices in the MN background.
