Superconducting and antiferromagnetic phases of space-time (Q1708832)

Summary: A correspondence between the \(S O \left(5\right)\) theory of high-\(T_C\) superconductivity and antiferromagnetism, put forward by Zhang and collaborators, and a theory of gravity arising from symmetry breaking of a \(S O \left(5\right)\) gauge field is presented. A physical correspondence between the order parameters of the unified SC/AF theory and the generators of the gravitational gauge connection is conjectured. A preliminary identification of regions of geometry, in solutions of Einstein's equations describing charged-rotating black holes embedded in de Sitter space-time, with SC and AF phases is carried out.