Shock Jockey

The Electric Vigor is one of the vigors shown in the 10 minutes demo of Bioshock Infinite.The actual name is unknown,since it wasn't revealed in any gameplay demonstration or interview.

This ability is inspired in the original plasmid from BioShock(which is seen in Bioshock 2 as well), the Electro Bolt,and the utility seems so far,the same,stun an enemy for a short period of time.

Combos
Also,in the 10 minutes demo,when Booker get surrounded by enemies,Elizabeth uses her powers to create rain clouds,which soaks his enemies,and by hitting the clouds with the Electric Vigor,electrifies every single one of them,killing instantly.This is the only known combo yet,but this combination might appear differently throughout the game.