5 papers
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…
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…
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…
Kerr-like metric in 4D Double Field Theory
Shunrui Li, Yang Liu
Double Field Theory suggests that people can view the whole massless NS-NS sector as the gravitational unity. The covariance and the doubled diffeomorphisms determine prec…
Observational Tests of 4D Double Field Theory
Shunrui Li, Yang Liu
Although General Relativity (GR) is a very successful theory of gravity, it cannot explain every observational phenomenon. People have tried many kinds of modified gravity theory t…