Nematic fields constrained to embedded curved surfaces develop an emergent geometric mass m² = K_ab K^ab for the leading isotropic mode via an auxiliary embedding-space closure using the surface spin connection.
Grigor’yan,Heat Kernel and Analysis on Manifolds (American Mathematical Society, 2009)
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Mass Generation from Embedding Geometry in Surface Nematics
Nematic fields constrained to embedded curved surfaces develop an emergent geometric mass m² = K_ab K^ab for the leading isotropic mode via an auxiliary embedding-space closure using the surface spin connection.