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Adjusted Parallel Transport for Higher Gauge Theories

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arxiv 1911.06390 v2 pith:KECTT4EQ submitted 2019-11-14 hep-th math-phmath.DGmath.MP

classification hep-thmath-phmath.DGmath.MP
keywords highergaugeconditionconnectionsfakegroupholonomynon-abelian
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Many physical theories, including notably string theory, require non-abelian higher gauge fields defining higher holonomy. Previous approaches to such higher connections on categorified principal bundles require these to be fake flat. This condition, however, renders them locally gauge equivalent to connections on abelian gerbes. For particular higher gauge groups, for example 2-group models of the string group, this limitation can be overcome by generalizing the notion of higher connection. Starting from this observation, we define a corresponding generalized higher holonomy functor which is free from the fake flatness condition, leading to a truly non-abelian parallel transport.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Adjusting Higher Chern-Simons Theory

    hep-th 2025-07 conditional novelty 7.0 of 10

    The authors introduce half-adjusted higher Chern-Simons theories, obtained by a cotangent completion of adjusted L8-algebras, which admit consistent gauge transformations and equations of motion implying full flatness.

  2. Generalized forms of types N = 1, 2 and higher gauge theory

    math-ph 2026-01 conditional novelty 6.0 of 10

    Strict 2- and 3-gauge theory is re-expressed in a single generalized-form formalism in which higher connections, curvatures, Bianchi identities, and gauge transformations match ordinary gauge-theory form, yielding uni...

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