Chiral Gauge Theory at the Boundary between Topological Phases
David B. Kaplan
Abstract
I demonstrate how chiral fermions with an exact gauge symmetry can appear on the d-dimensional boundary of a finite volume (d+1)-dimensional manifold, without any light mirror partners. The condition for the d-dimensional boundary theory to be local is that gauge anomalies cancel and that the volume be large. This can likely be achieved on a lattice and provides a new paradigm for the lattice regularization of chiral gauge theories.
Topics & Concepts
PhysicsGauge theoryGauge (firearms)Boundary (topology)Topology (electrical circuits)Theoretical physicsLattice gauge theoryMathematical physicsMaterials scienceMathematicsCombinatoricsMathematical analysisMetallurgyBlack Holes and Theoretical PhysicsTopological Materials and PhenomenaQuantum Chromodynamics and Particle Interactions