3 papers
hep-th2026
Chern Character for Discrete Spectrum Partition Function
Shunrui Li, Yang Liu
We establish a rigorous geometric correspondence between thermal partition functions of discrete-spectrum quantum systems with bounded ground energy and the Chern character of "vir…
quant-ph2026
Quantum harmonic oscillator, index theorem and spectral asymmetry
Shunrui Li, Yang Liu
We report a spectral asymmetry effect in the quantum harmonic oscillator, where its partition function is identified as the Chern character. This establishes a direct link between…
math-ph2025
Non-SUSY physics and the Atiyah-Singer index theorem
Shunrui Li, Yang Liu
The Atiyah-Singer index theorem, a cornerstone of modern mathematics, has traditionally been derived from supersymmetric (SUSY) physics. This paper demonstrates a direct derivation…