On (Some) Gauge Theories of Gravity

Abstract

I consider the sense in which teleparallel gravity and symmetric teleparallel gravity may be understood as gauge theories of gravity. I first argue that both theories have surplus structure. I then consider the relationship between Yang-Mills theory and Poincare Gauge Theory and argue that though these use similar formalisms, there are subtle disanalogies in their interpretation.

17 pages. Presented as part of the Symposium "The Philosophy of the Geometric Trinity of Gravity" at PSA 2025