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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…
hep-th2025
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 …
quant-ph2025
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…