Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-02-26
JHEP 1010:034,2010
Physics
High Energy Physics
High Energy Physics - Theory
36 + 9 pages text, one figure, v3: added discussion on relation to old-fashioned factorization, typos corrected, published ver
Scientific paper
10.1007/JHEP10(2010)034
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.
Boels Rutger H.
Marmiroli Daniele
Obers Niels A.
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