On this page of our guide to BioShock Infinite you will find the second part of a detailed walkthrough of Chapter 11 Hall of Heroes Gift Shop. After you catch Slate you have to make an important decision about his fate. Also, you will be able to find a powerful vigor here - Shock Jockey.
Slate himself can be found at the end of path, close to an entrance to a new display. Before you take the vigor him you will have to make a choice what to do with him - you can kill the captain or spare his life. The consequences of this choice are minor. If you decide to leave Slate in the cell, then you will meet him again in chapter 18.
No matter how you've chosen collect the Shock Jockey vigor and start going back to the Soldier's Field.
On your way to the exit you should expect several more encounters with the remains of Slate's forces, including a single Raven. Once you've dealt with all enemy units use the newly acquired Shock Jockey vigor on an electrical node found next to a closed gate.