title: Nature of ground state incongruence in two-dimensional spin glasses
abstract: We rigorously rule out the appearance of multiple domain walls between ground states in 2D Edwards-Anderson Ising spin glasses (with periodic boundary conditions and, e.g., Gaussian couplings). This supports the conjecture that there is only a single pair of ground states in these models.
authors.affiliation: Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, USA.
authors.initials: CM
authors.lastname: Newman
authors.initials: DL
authors.lastname: Stein