Z_2-Graded Cocycles in Higher Dimensions
C. Ekstrand
TL;DR
This paper generalizes the quantization of chiral fermions in external Yang-Mills potentials to Z_2-graded potentials, exploring superalgebras and Schwinger terms in higher dimensions.
Contribution
It introduces a novel framework for Z_2-graded cocycles in higher dimensions, extending superalgebra quantization methods.
Findings
Analysis of superalgebras in higher dimensions
Extension of Schwinger term calculations
Generalization of fermion quantization in Z_2-graded settings
Abstract
Current superalgebras and corresponding Schwinger terms in 1 and 3 space dimensions are studied. This is done by generalizing the quantization of chiral fermions in an external Yang-Mills potential to the case of a Z_2-graded potential coupled to bosons and fermions.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Algebraic structures and combinatorial models