2010/02/28 by Rutger H. Boels, Daniele Marmiroli, Niels A. Obers · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Mathematical physics #Mathematics #Monodromy #Non-critical string theory #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum gravity #Quantum mechanics #Recursion (computer science) #Relationship between string theory and quantum field theory #String (physics) #String cosmology #String duality #String field theory #String phenomenology #String theory #Superstring theory #Supersymmetry #Theoretical physics #Type I string theory #hep-th
paper · pdf · doi:10.1007/jhep10(2010)034
published as JHEP 1010:034,2010 · 36 + 9 pages text, one figure, v3: added discussion on relation to old-fashioned factorization, typos corrected, published version
openalex publication_date 2010/10/01 · arxiv created 2010/10/18 · arxiv updated 2010/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
We prove that all open string theory disc amplitudes in a flat background obey Britto-Cachazo-Feng-Witten (BCFW) on-shell recursion relations, up to a possible reality condition on a kinematic invariant. Arguments that the same holds for tree level closed string amplitudes are given as well. Non-adjacent BCFW-shifts are related to adjacent shifts through monodromy relations for which we provide a novel CFT based derivation. All possible recursion relations are related by old-fashioned string duality. The field theory limit of the analysis for amplitudes involving gluons is explicitly shown to be smooth for both the bosonic string as well as the superstring. In addition to a proof a less rigorous but more powerful argument based on the underlying CFT is presented which suggests that the technique may extend to a much more general setting in string theory. This is illustrated by a discussion of the open string in a constant B-field background and the closed string on the level of the sphere.