Stability conjecture for half-integer disclination lines

Consider disclination lines in the Landau–de Gennes theory, including $7k/2$-disclination lines and the $71/2$-disclination line. Half-integer disclination-line stability conjecture. Among all the disclination lines, the $71/2$-disclination line is the most stable. The source notes that this is provable in a special two-dimensional disk setting and proposes that it is generally true for all tensor models of liquid crystals, so the general statement remains open.