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N-point Amplitudes in Intersecting Brane Models

S. A. Abel, A. W. Owen

Abstract

We derive general and complete expressions for N-point tree-level amplitudes in Type II string models with matter fields localised at D-brane intersections.

N-point Amplitudes in Intersecting Brane Models

Abstract

We derive general and complete expressions for N-point tree-level amplitudes in Type II string models with matter fields localised at D-brane intersections.

Paper Structure

This paper contains 19 sections, 143 equations, 11 figures.

Table of Contents

  1. Introduction
  2. Closed and open string twisted states
  3. The classical part of the $N$-point function
  4. Determining the classical $4$-point function for the plane
  5. Generalisation to the $N$-point function
  6. Determining the classical $N$-point function for the torus
  7. Expressing $S_{cl}$ in terms of $F_{D}$
  8. The general four point amplitude
  9. Wrapping contributions
  10. One independent angle
  11. Two independent angles
  12. The quantum contribution
  13. General 4-point quantum contribution
  14. The quantum contribution to $N$-point amplitudes
  15. The complete amplitude and applications
  16. ...and 4 more sections

Figures (11)

  • Figure 1: A 'twisted' open string state
  • Figure 2: Identifying open strings to form closed strings
  • Figure 3: The Pochammer loop $C_{i}$ with net twist zero, branch cuts lie along the dashed lines.
  • Figure 4: Transporting $X_{cl}$ around two twist fields
  • Figure 5: Determining the wrapped polygons
  • ...and 6 more figures