Repulsive Maxwell–Chern–Simons Casimir effect

In the present Letter we discuss the role of different boundary conditions on the Casimir effect between parallel lines in a planar (2+1)(2+1) system, specifically in the context of a Maxwell theory with a Chern–Simons mass term. We consider parallel lines of a different nature, namely a perfectly conducting line and an infinitely permeable one. We also discuss the case of two infinitely permeable lines. We compare our results with those found in the literature for the case of two perfectly conducting lines.