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On-shell recursion in string theory

delete2010-10-11
delete26
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OA
AI
R
Rutger H. Boels *
D
Daniele Marmiroli
N
Niels A. Obers
DOI:10.1007/JHEP10(2010)034delete
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Abstract

Abstract

En 中文
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.
Keywords:
D-branes
Superstrings and Heterotic Strings

Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
3.9W
Citations:
13.7W

Organization

U
University of Copenhagen
Scholars:
7.6W
Papers: 6.6W
Citations: 86
N
niels bohr institute
Scholars:
4.9K
Papers: 4.1K
Citations: 17