2025/01/04 by Jian Wang, Yong Wang, Wang, Jian +1
Physics and Astronomy · Mathematics · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2501.02253
The spectral metric and Einstein functionals defined by two vector fields and Laplace-type operators over vector bundles, giving an interesting example of the spinor connection and square of the Dirac operator. Motivated by the spectral functionals and Dirac operators with inner fluctuations, we give some new spectral functionals which is the extension of spectral functionals for Dirac operators, and compute the spectral Einstein functional for the Dirac operator with inner fluctuations on even-dimensional spin manifolds without boundary.