2020/10/19 by Warren Siegel, Di Wang, Siegel, Warren +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Brane #Cosmology and Gravitation Theories #Dimension (graph theory) #FOS: Physical sciences #Field (mathematics) #Field theory (psychology) #Gauge theory #Geometry #High Energy Physics - Theory (hep-th) #M-theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Orthogonality #Physics #Pure mathematics #Quantum mechanics #Spacetime #String (physics) #String theory #Supergravity #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.48550/arxiv.2010.09564
published in arXiv (Cornell University) (Cornell University) · 18 pages
arxiv created 2020/10/19 · openalex publication_date 2020/10/19 · arxiv updated 2020/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We write down a GL(D+1) (D for the dimension of string theory) manifest fundamental brane worldvolume current algebra description of M theory, which consists of a pair of vector field Xm and dual 2-form field Xmn, compositing together to parametrize the spacetime, with a selfduality condition for sectioning. The worldvolume of the brane itself is a (D+2) dimensional object, and the background spacetime after sectioning has dimension (D+1). We summarize the features of the algebra. The field contents of the corresponding background geometry, the usual vielbein eam and the 3-form Amnp, could be identified as different blocks of the composite spacetime vielbein, by solving the orthogonality condition. Their behaviour under gauge transformation are also determined by the corresponding rules of the composite vielbein. Then by solving F theory V constraints, we reduce the number of worldvolume and show how to recover M theory from F theory.