In the past decade, sweeping progress in our understanding of quantum field theory (QFT) has revealed new organizing principles whose impact is already being felt across high energy, condensed matter, and mathematical physics. These include the generalization of the conventional principle of symmetries to include those that act on extended objects and/or do not come with an inverse. The goal of this workshop is to bring these new theoretical developments to bear on the problems of particle physics. The workshop aims to establish a new bridge between the formal and phenomenological high-energy physics communities, which will drive progress in both directions.