A cubic identity for the Infeld-van der Waerden field and its application
Ruslan Sharipov
TL;DR
This paper presents a cubic identity for the Infeld-van der Waerden field and demonstrates its use in verifying explicit formulas for the spinor components of the metric connection.
Contribution
The paper introduces a new cubic identity for the Infeld-van der Waerden field and applies it to validate formulas for spinor components of the metric connection.
Findings
Derived a cubic identity for the Infeld-van der Waerden field
Applied the identity to verify explicit spinor component formulas
Enhanced understanding of the mathematical structure of spinor connections
Abstract
A cubic identity for the Infeld-van der Waerden field is found and its application to verifying an explicit formula for the spinor components of the metric connection is demonstrated.
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Taxonomy
TopicsAdvanced Topics in Algebra · Mathematics and Applications · Algebraic and Geometric Analysis