Pure-Axial Weyl Invariance and Nieh–Yan Spin Holonomy

This paper gives an explicit Nieh--Yan realization of torsionful twistor transport. On cylindrical and warped Riemann--Cartan backgrounds, the torsionful transport holonomy is computed in closed form and checked against the Nieh--Yan boundary invariant. The result provides a concrete background-level companion to the abstract T-series classification of torsionful α\alphaα-surface transport and hidden quadratic obstruction mechanisms.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-02
DOI
https://doi.org/10.5281/zenodo.21136019
Primary Topic
Geometry and complex manifolds
Type
preprint
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preprint

Pure-Axial Weyl Invariance and Nieh–Yan Spin Holonomy

Hiroyuki Shioiri
Zenodo (CERN European Organization for Nuclear Research)
Geometry and complex manifolds
preprint

Pure-Axial Weyl Invariance and Nieh–Yan Spin Holonomy

Hiroyuki Shioiri
preprint en

Abstract

This paper gives an explicit Nieh--Yan realization of torsionful twistor transport. On cylindrical and warped Riemann--Cartan backgrounds, the torsionful transport holonomy is computed in closed form and checked against the Nieh--Yan boundary invariant. The result provides a concrete background-level companion to the abstract T-series classification of torsionful α\alphaα-surface transport and hidden quadratic obstruction mechanisms.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Geometry and complex manifolds
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Pure-Axial Weyl Invariance and Nieh–Yan Spin Holonomy — Hiroyuki Shioiri · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS