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Superstring Scattering from D-Branes

Mohammad R. Garousi, Robert C. Myers

TL;DR

The paper computes covariant two-point scattering amplitudes of massless closed strings from D$p$-branes in type II string theory and shows these amplitudes are directly obtainable from four-point open-string amplitudes, reflecting a KLT-like open/closed factorization mediated by the D-brane boundary. By analyzing the massless $t$-channel poles, the authors extract the long-range background fields and demonstrate their agreement with extremal $p$-brane solutions in the low-energy action, identifying the D$p$-brane tension and RR charges. The work provides explicit amplitudes across NS-NS, RR, and fermionic sectors, verifies gauge/Ward identities, and connects worldsheet results to spacetime supergravity and boundary-state descriptions, with implications for SUSY and dualities in D-brane physics.

Abstract

We derive fully covariant expressions for all two-point scattering amplitudes of two massless closed strings from a Dirichlet $p$-brane. This construction relies on the observation that there is a simple relation between these D-brane amplitudes in type II superstring theory and four-point scattering amplitudes for type I open superstrings. From the two-point amplitudes, we derive the long range background fields for the D-branes, and verify that as expected they correspond to those of extremally charged $p$-brane solutions of the low energy effective action.

Superstring Scattering from D-Branes

TL;DR

The paper computes covariant two-point scattering amplitudes of massless closed strings from D-branes in type II string theory and shows these amplitudes are directly obtainable from four-point open-string amplitudes, reflecting a KLT-like open/closed factorization mediated by the D-brane boundary. By analyzing the massless -channel poles, the authors extract the long-range background fields and demonstrate their agreement with extremal -brane solutions in the low-energy action, identifying the D-brane tension and RR charges. The work provides explicit amplitudes across NS-NS, RR, and fermionic sectors, verifies gauge/Ward identities, and connects worldsheet results to spacetime supergravity and boundary-state descriptions, with implications for SUSY and dualities in D-brane physics.

Abstract

We derive fully covariant expressions for all two-point scattering amplitudes of two massless closed strings from a Dirichlet -brane. This construction relies on the observation that there is a simple relation between these D-brane amplitudes in type II superstring theory and four-point scattering amplitudes for type I open superstrings. From the two-point amplitudes, we derive the long range background fields for the D-branes, and verify that as expected they correspond to those of extremally charged -brane solutions of the low energy effective action.

Paper Structure

This paper contains 16 sections, 130 equations, 4 figures.

Figures (4)

  • Figure 1: Feynman diagram for graviton-dilaton scattering from a D-brane
  • Figure 2: Feynman diagrams for scattering of two (NS-NS or R-R) antisymmetric tensor states from a D-brane
  • Figure 3: Feynman diagram for graviton--R-R tensor scattering from a D-brane
  • Figure 4: Feynman diagram for a two-graviton contact interaction on a D-brane