Explore the concept of Gauged Gaussian Fermionic PEPS as a tool for studying lattice gauge theories in this 42-minute conference talk by Erez Zohar at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the application of tensor networks in more than one space dimension to investigate lattice gauge theories with fermionic matter. Learn about the physical motivation behind this approach, which serves as a state-level analogue of minimal coupling, and its numerical efficiency when combined with Monte-Carlo simulations to avoid the sign problem. Discover the key properties of these states and examine practical results demonstrating their effectiveness in computational physics.