One loop scattering on D-branes

Abstract

We analyze one loop scattering amplitudes of the massless states on a stack of D3-branes. We use the vertex operators that have been obtained in the direct open string analysis developed in arXiv:0708.3452. The method does not have the obstacle of the D9 computation which is associated with the appearance of an $\e$-tensor. The divergence structure is not the same as the D9 brane case. What makes the analysis deviate from the D9 brane case is that the momenta of the states have non-zero components only along the brane directions. We ponder on the possibility that the one-loop divergence may be canceled by adding additional vertex operators at the tree level. We anticipate that they will be "exponentiated" to the free string action, with the resulting action to constitute a non-linear sigma model of the D-brane/AdS geometry.

17 pages, 1 figure, refs added and adjusted, minor typos corrected, a version that will appear in EPJC

References in corpus (4)

• One loop scattering on D-branes
• Scattering on D3-branes
• AdS/CFT Correspondence as a Consequence of Scale Invariance
• Summing planar diagrams

Cited by in corpus (9)

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• One loop scattering on D-branes
• Scattering on D3-branes
• Foliation-based quantization and black hole information
• Remarks on Non-BPS String Amplitudes and Their All Order ${\alpha }^{\prime }$ Contact Interactions in IIB, IIA
• Scattering of massive open strings in pure spinor
• On WZ and RR Couplings of BPS Branes and their all order ${\alpha }^{\prime }$ Corrections in IIB, IIA
• Pure spinor computation towards open string three-loop