Spectral (0,4)-tensor functionals and the noncommutative residue

Key Points

• The study derives spectral (0,4)-tensor functionals from four one-forms and the Dirac operator, contributing to the field of noncommutative geometry.
• The main evidence includes the extension of these functionals to a general spectral triple, which broadens their applicability in mathematical physics.
• The methodological approach encompasses deriving functionals in the context of even-dimensional compact spin manifolds without boundary.
• The findings highlight the potential for further exploration of noncommutative residue concepts in advanced geometric frameworks.