General Yang–Mills type gauge theories for p-form gauge fields: From physics-based ideas to a mathematical frameworkorFrom Bianchi identities to twisted Courant algebroids

DOI10.1142/S0219887815500097zbMath1331.81193arXiv1407.6759MaRDI QIDQ5178101

Melchior Grützmann, Thomas Strobl

Publication date: 13 March 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6759

zbMATH Keywords

Lie algebroidshigher structureshigher gauge theories

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Classical or axiomatic geometry and physics (51P05) Generalized manifolds (57P99) Homological algebra in category theory, derived categories and functors (18G99)

Related Items (26)

The Pontryagin class for pre-Courant algebroids ⋮ Algebraic formulation of higher gauge theory ⋮ Supersymmetrization: AKSZ and beyond? ⋮ Generalized higher gauge theory ⋮ Higher gauge theories from Lie \(n\)-algebras and off-shell covariantization ⋮ BV and BFV for the H-twisted Poisson sigma model ⋮ Strings in singular space-times and their universal gauge theory ⋮ Enhanced Leibniz algebras: structure theorem and induced Lie 2-algebra ⋮ The embedding tensor, Leibniz-Loday algebras, and their higher gauge theories ⋮ Extended Riemannian geometry. I: Local double field theory ⋮ Twisted Weil Algebras for the String Lie 2‐Algebra ⋮ Normal forms of \(\mathbb{Z}\)-graded \(Q\)-manifolds ⋮ Gauging without initial symmetry ⋮ The universal Lie \(\infty\)-algebroid of a singular foliation ⋮ Omni n-Lie algebras and linearization of higher analogues of Courant algebroids ⋮ Hidden \(Q\)-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions ⋮ A new formulation of higher parallel transport in higher gauge theory ⋮ Topological field theories induced by twisted \(R \)-Poisson structure in any dimension ⋮ The non-abelian self-dual string ⋮ On curvature and torsion in Courant algebroids ⋮ A Lie based 4–dimensional higher Chern–Simons theory ⋮ Linearization of the higher analogue of Courant algebroids ⋮ Fluxes in exceptional field theory and threebrane sigma-models ⋮ Higher groupoid bundles, higher spaces, and self-dual tensor field equations ⋮ Brane current algebras and generalised geometry from QP manifolds. Or, ``when they go high, we go low ⋮ Representation of a gauge field via intrinsic ``BRST operator

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