TL;DR
This paper introduces a formula connecting free fermion fields in 2K dimensions with Cartan currents, enabling a vertex operator construction of nonabelian free fermion current algebras in even dimensions, with potential broader applications.
Contribution
It presents a new formula for expressing free fermion fields in higher dimensions and constructs nonabelian current algebras using vertex operators, suggesting possible generalizations.
Findings
Formula for free fermion fields in 2K dimensions
Vertex operator construction of nonabelian current algebras
Potential extension to broader conformal field theories
Abstract
A formula is proposed which expresses free fermion fields in 2K dimensions in terms of the Cartan currents of the free fermion current algebra. This leads, in an obvious manner, to a vertex operator construction of nonabelian free fermion current algebras in arbitrary even dimension. It is conjectured that these ideas may generalize to a wide class of conformal field theories.
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