2005/06/18 by Paul Koerber · 96 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Calibration #Context (archaeology) #Field (mathematics) #Gauge (firearms) #Gauge theory #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #Supersymmetry #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/08/099
published in Journal of High Energy Physics 2005(08), 099 (Springer Nature) · 24 pages, LaTeX, JHEP style
arxiv created 2005/06/18 · openalex publication_date 2005/08/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We introduce generalized calibrations that take into account the gauge field on the D-brane so that calibrated submanifolds minimize the Dirac-Born-Infeld energy. We establish the calibration bound and show that the calibration form is closed in a supersymmetric background with non-vanishing NS-NS 3-form H and dilaton. We show that the calibration conditions are equivalent to the existence of unbroken supersymmetry on the D-brane. We study the problem of supersymmetric D-branes in the presence of non-vanishing H also from the world-sheet approach and find exactly the same conditions. Finally, we show that our notion of generalized calibrations is equivalent to the calibrations introduced in the context of generalized Calabi-Yau geometry in math.DG/0401221.