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cond-mat.soft2026
Geometry and relaxation dynamics of nematic loops
F. Aprile, A. J. H. Houston, G. Gonnella +3
Disclination lines in three-dimensional nematic liquid crystals generically form closed loops whose topology is classified by homotopy theory. While this classification successfull…
cond-mat.soft2026
Braiding and exchange statistics of liquid crystalline Majorana quasiparticles
A. I. Tóth, G. Negro, A. D. Huxley +1
Liquid crystalline defects in 3D can be viewed as geometric spinors, whose emergent properties are reminiscent of those of topological excitations in quantum condensed matter, such…
cond-mat.soft2025
Clifford algebras and liquid crystalline fermions
N. Johnson, L. C. Head, O. D. Lavrentovich +6
We show that Clifford algebras provide a natural language to describe the physics of liquid crystal defects in 3D. This framework shows that most of these defects have fermionic na…