Scattering on D3-branes

Abstract

In a direct open string approach we analyze scattering of massless states on a stack of D3-branes. First we construct vertex operators on the D-branes. The 4+6 splitting for the fermionic part is made possible by inserting appropriately defined projection operators. With the vertex operators constructed we compute various tree amplitudes. The results are then compared with the corresponding field theory computations of the $\mathbb{N}=4$ SYM with $\a'$-corrections: agreements are found. We comment on applications to AdS/CFT.

15 pages, minor typos corrected, version that will appear in PLB

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• Closed string Ramond-Ramond proposed higher derivative interactions on fermionic amplitudes in IIB
• Geometry of open strings ending on backreacting D3-branes
• SYM, Chern-Simons, Wess-Zumino Couplings and their higher derivative corrections in IIA Superstring theory
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• Vertex operator formulation of scattering around black hole
• Geometric counter-vertex for open string scattering on D-branes
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