TL;DR
This paper explores a novel degree seven twist in heterotic string theory's gauge fields, suggesting a potential extension of twisted K-theory to a higher-degree cohomology framework.
Contribution
It introduces a higher-degree twist in the equations of motion, generalizing the known degree three twist in twisted K-theory, and discusses possible integral-level extensions.
Findings
Identification of a degree seven twist in heterotic string theory
Proposal of a generalized cohomology framework for gauge fields
Discussion on extending twisted K-theory to higher degrees
Abstract
Considering the gauge field and its dual in heterotic string theory as a unified field, we show that the equations of motion at the rational level contain a twisted differential with a novel degree seven twist. This generalizes the usual degree three twist that lifts to twisted K-theory and raises the natural question of whether at the integral level the abelianized gauge fields belong to a generalized cohomology theory. Some remarks on possible such extension are given.
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