K\"ahler Fermions on the Weitzenb\"ock space-time
I.B. Pestov
TL;DR
This paper derives the K"ahler-Dirac equation on Weitzenb"ock space-time, exploring its structure with parallel vector fields and establishing a consistent system of equations for fermions in teleparallel gravity.
Contribution
It introduces a novel formulation of the K"ahler-Dirac equation within the teleparallel framework of Weitzenb"ock space-time, linking fermions with parallel vector fields.
Findings
Derived the K"ahler-Dirac equation on Weitzenb"ock space-time
Established a consistent system of equations for fermions and parallel vector fields
Explored implications for teleparallel gravity and internal symmetry
Abstract
The K\"ahler-Dirac equation is derived on the Weitzenb\"ock space-time, which has a quadruplet of parallel vector fields as the fundamental structure. A consistent system of equations for the K\"ahler fields and parallel vector fields is obtained. Key words: teleparallelism, fermions, internal symmetry, equations.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic and Geometric Analysis · Noncommutative and Quantum Gravity Theories · Atomic and Subatomic Physics Research