The metaphysics of symmetries

My main aim in this paper is to lay out a metaphysical map of the possible metaphysical attitudes that philosophers may hold with respect to physical symmetries. Even though it is customary to distinguish between realism vs. anti-realism, I show that the metaphysical landscape looks a bit more complex. To show this, I differentiate at least nine different views that have been held, or might be held, concerning which place physical symmetries occupy in one’s ontology.