Extended gauge theory and gauged Free Differential Algebras

Abstract

Recently, Antoniadis, Konitopoulos and Savvidy introduced, in the context of the so-called extended gauge theory, a procedure to construct background-free gauge invariants, using non-abelian gauge potentials described by higher degree forms. In this article it is shown that the extended invariants found by Antoniadis, Konitopoulos and Savvidy can be constructed from an algebraic structure known as Free Differential Algebra. In other words, we show that the above mentioned non abelian gauge theory, where the gauge fields are described by p-forms with p>1, can be obtained by gauging Free Differential Algebras.

References in corpus (3)

• Differential geometry construction of anomalies and topological invariants in various dimensions
• Extension of Chern-Simons forms
• Propagating modes of non-Abelian tensor gauge field of second rank

Cited by in corpus (8)

• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules
• Modified newtonian dynamics and non-relativistic ChSAS gravity
• On the $L_{\infty }$ formulation of Chern-Simons theories
• Extended Gauge Theory, Bi-Spinors, and Scalar Supersymmetry
• Extended Bargmann FDA and non-relativistic gravity
• Gauge-invariant theories and higher-degree forms
• Closed Algebras for Higher Rank, non-Abelian Tensor Gauge Fields