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Generalized higher connections and Yang-Mills

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arxiv 2112.13370 v2 pith:AK7R7PRJ submitted 2021-12-26 hep-th math-phmath.MP

Danhua Song , Kai Lou , Ke Wu , Jie Yang This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords generalizedhigherconnectionstheoriesyang-millsadditionbianchi-identitiesbilinear
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We first extend Generalized Differential Calculus (GDC) to higher structures and create generalized G-invariant bilinear forms. In addition, we also focus on developing generalized 2- and 3-connection theories in the framework of GDC. Then, we derive the higher Bianchi-Identities and study the gauge transformations for those generalized higher connections. Finally, we establish the generalized 2- and 3-form Yang-Mills theories based on GDC and obtain the corresponding fields equations.

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Cited by 1 Pith paper

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  1. Categorical quantum symmetries and ribbon tensor 2-categories

    math-ph 2025-01 reject novelty 5.0 of 10

    The paper constructs ribbon balancing data and framing levels for 2Rep(U_q G), making it a candidate ribbon tensor 2-category, and recovers strict pivotality in the classical limit q=1.

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