Pomerons and BCFW recursion relations for strings on D-branes

Abstract

We derive pomeron vertex operators for bosonic strings and superstrings in the presence of D-branes. We demonstrate how they can be used in order to compute the Regge behavior of string amplitudes on D-branes and the amplitude of ultrarelativistic D-brane scattering. After a lightning review of the BCFW method, we proceed in a classification of the various BCFW shifts possible in a field/string theory in the presence of defects/D-branes. The BCFW shifts present several novel features, such as the possibility of performing single particle momentum shifts, due to the breaking of momentum conservation in the directions normal to the defect. Using the pomeron vertices we show that superstring amplitudes on the disc involving both open and closed strings should obey BCFW recursion relations. As a particular example, we analyze explicitly the case of 1 -> 1 scattering of level one closed string states off a D-brane. Finally, we investigate whether the eikonal Regge regime conjecture holds in the presence of D-branes.

49 pages; v2 corrected references and minor typos; v3 minor typos corrected, version to appear in NPB

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• The Pomeron and Gauge/String Duality
• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Consistency Conditions on the S-Matrix of Massless Particles
• All tree-level amplitudes in N=4 SYM
• The LHC String Hunter's Companion
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Cited by in corpus (4)

• A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
• On-shell constructibility of tree amplitudes in general field theories
• On stable higher spin states in Heterotic String Theories
• Disk level S-matrix elements at eikonal Regge limit