2014/11/30 by Chen‐Te Ma, Chen-Te Ma · 9 citations
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge symmetry #Gauge theory #Introduction to gauge theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Scalar field #hep-th
paper · pdf · doi:10.1103/physrevd.92.066004
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 92(6) (American Physical Society) · 30 pages, minor changes
arxiv created 2015/09/02 · openalex publication_date 2015/09/15 · arxiv updated 2015/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We combine symmetry structures of ordinary (parallel directions) and dual (transversal directions) coordinates to construct the Dirac-Born-Infeld theory. The ordinary coordinates are associated with the Neumann boundary conditions and the dual coordinates are associated with the Dirichlet boundary conditions. Gauge fields become scalar fields by exchanging the ordinary and dual coordinates. A gauge transformation of a generalized metric is governed by the generalized Lie derivative. The gauge transformation of the massless closed string theory gives the C-bracket, but the gauge transformation of the open string theory gives the F-bracket. The F-bracket with the strong constraints is different from the Courant bracket by an exact one-form. This exact one-form should come from the one-form gauge field. Based on a symmetry point of view, we deduce a suitable action with a nonzero H-flux at the low-energy level. From an equation of motion of the scalar dilaton, it defines a generalized scalar curvature. Finally, we construct a double sigma model with a boundary term and show that this model with constraints is classically equivalent to the ordinary sigma model.