2000/11/29 by Hisashi Echigoya, Echigoya, Hisashi, Tadashi Miyazaki +1
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematics and Applications #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0011263
22pages, Latex
arxiv created 2000/11/29 · openalex publication_date 2000/11/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A general action is proposed for the fields of q-dimensional differential form over the compact Riemannian manifold of arbitrary dimensions. Mathematical tools are based on the well-known de Rham-Kodaira decomposing theorem on harmonic integral. A field-theoretic action for strings, p-branes and high-spin fields is naturally derived. We also have, naturally, the generalized Maxwell equations with an electromagnetic and monopole current on a curved space-time. A new type of gauge transformations (\it dual gauge transformations) plays an essential role for coboundary q-forms.