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…
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…
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…
Global Type IIA Vacuum: A Unified Model for the Standard Model and Cosmology
Yang Liu
We propose a unified framework within Type IIA string theory, based on a globally consistent intersecting D6-brane model compactified on a …
Vacuum transitions with the Gauss-Bonnet term in dimensions
Yang Liu
In our previous paper [1,2], we proposed a probabilistic argument to explain the reason why the cosmological constant is very small in . We can ask a question: if the behavior…