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June 11, 20260 citationsOpen Access

Nieh–Yan Holonomy in Torsionful Twistor Transport

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HSHiroyuki Shioiri

Key Points

  • The aim is to develop an explicit Nieh–Yan realization of torsionful twistor transport.
  • Computed torsionful transport holonomy on cylindrical and warped Riemann-Cartan backgrounds.
  • Checked results against the Nieh–Yan boundary invariant.
  • Presented closed-form computations for the torsionful transport holonomy.
  • Provided background-level insights complementary to abstract classification of torsionful α-surface transport.

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 αα-surface transport and hidden quadratic obstruction mechanisms.

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Cite This Study

Hiroyuki Shioiri (2026) studied this question.

synapsesocial.com/papers/6a2a526080c8f91e7f39e654https://doi.org/10.5281/zenodo.20617270
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