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caffarelli-kohn-nirenberg inequality 1sobolev interpolation 1spectral methods 1spinors 1symmetry breaking 1

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math.AP2026

The CKN inequality for spinors: symmetry and symmetry breaking

Jean Dolbeault, Maria J. Esteban, Rupert L. Frank +1

The paper studies weighted Sobolev interpolation inequalities for spinor fields, examining when optimal spinors are symmetric and when symmetry breaks, using spectral analysis tech…