Breaking the permutation character of diffeomorphisms on spinor structures

2025/07/23 by da Silva, J. M. Hoff
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2507.17737

Abstract

We investigate the impact of diffeomorphisms where more than one nonequivalent spinor structure is built upon a given base manifold endowed with nontrivial topology. We call attention to the fact that a relatively straightforward construction evinces a lack of symmetry between fermionic modes from different spinor bundle sections, leading to a dynamic preference breaking the permutation character of diffeomorphisms on spinor structures.

Citations

• Geometric realization and its variants

Related

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• Geometric structures in the nodal sets of eigenfunctions of the Dirac operator
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