2016/02/29 by Gianluca Grignani, G. Grignani, Troels Harmark +2
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Born–Infeld model #Brane cosmology #Classical mechanics #Cosmology and Gravitation Theories #Duality (order theory) #Field (mathematics) #Field theory (psychology) #Gravitation #Gravitational field #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #String (physics) #String theory #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.94.066009
published as Phys. Rev. D 94, 066009 (2016) · 24 pages, 4 figures. v2: Refs added, paragraph added in introduction, footnote added in section 5.2. v3: minor changes
arxiv created 2016/08/29 · openalex publication_date 2016/09/28 · arxiv updated 2016/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we explore the correspondence between four-dimensional Born-Infeld theory and five-dimensional classical gravity. The Born-Infeld theory side corresponds to the low-energy effective theory for open strings ending on coincident D3-branes in a (slowly varying) background Kalb-Ramond field, including all higher-derivative corrections. On the gravity side one has the gravitational (closed-string) description of D3-branes in the same background Kalb-Ramond field and the correspondence is thus a consequence of the open/closed-string duality. According to the correspondence the gravity side provides a description of the strong coupling limit of Born-Infeld theory. This is a correspondence between effective theories in a similar sense as in the fluid/gravity correspondence. We match the Born-Infeld and gravity sides up to, and including, two-derivative corrections. To this end, we find a new gravity solution for D3-branes with flat embedding in the background of an arbitrary constant background Kalb-Ramond field and show that there are no two-derivative corrections to this for a slowly varying Kalb-Ramond field.