2012/10/05 by Wung-Hong Huang · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Dimension (graph theory) #Dual (grammatical number) #Field (mathematics) #Gauge (firearms) #Gauge anomaly #Gauge covariant derivative #Gauge symmetry #Gauge theory #Introduction to gauge theory #Lagrangian #Lorentz covariance #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep11(2012)051
published in Journal of High Energy Physics 2012(11) (Springer Nature) · Latex 20 pages. Typos corrected. arXiv admin note: substantial text overlap with arXiv:1111.5118
arxiv created 2012/10/05 · openalex publication_date 2012/11/01 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present the general formulation of non-covariant Lagrangian of self-dual gauge theory. After specifying the parameters therein the previous Lagrangian in the decomposition of spacetime into 6=D1+D2 and 6=D1+D2+D3 can be obtained. The self-dual property of the general Lagrangian is proved in detail. We furthermore show that the new non-covariant actions give field equations with 6d Lorentz invariance. The method can be straightforward extended to any dimension and we also give a short discussion about the 10D self-dual gauge theory.