2004/10/11 by Hitoshi Nishino, Subhash Rajpoot, Kevin Reed +1
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Born–Infeld model #Combinatorics #Dirac (video compression format) #Dual (grammatical number) #Duality (order theory) #Effective action #Field (mathematics) #Mathematical physics #Particle physics #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum mechanics #Rank (graph theory) #Supersymmetry #Theoretical physics #Topological Materials and Phenomena #hep-th
paper · pdf · doi:10.1088/0264-9381/22/9/005
published as Class.Quant.Grav. 22 (2005) 1553-1562 · 12 pages, no figures
arxiv created 2004/10/11 · openalex publication_date 2005/04/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a self-dual N=1 supersymmetric Dirac-Born-Infeld action in three dimensions. This action is based on the supersymmetric generalized self-duality in odd dimensions developed originally by Townsend, Pilch and van Nieuwenhuizen. Even though such a self-duality had been supposed to be very difficult to generalize to a supersymmetrically interacting system, we show that Dirac-Born-Infeld action is actually compatible with supersymmetry and self-duality in three-dimensions. The interactions can be further generalized to arbitrary (non)polynomial interactions. As a by-product, we also show that a third-rank field strength leads to a more natural formulation of self-duality in 3D. We also show an interesting role played by the third-rank field strength leading to a supersymmetry breaking, in addition to accommodating a Chern-Simons form.