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Virasoro amplitude from the $S^N\R^{24}$ orbifold sigma model

G. E. Arutyunov, S. A. Frolov

Abstract

Four tachyon scattering amplitude is derived from the $S^N\R^{24}$ orbifold sigma model in the large $N$ limit. The closed string interaction is described by a vertex which is a bosonic analog of the supersymmetric one, recently proposed by Dijkgraaf, Verlinde and Verlinde.

Virasoro amplitude from the $S^N\R^{24}$ orbifold sigma model

Abstract

Four tachyon scattering amplitude is derived from the orbifold sigma model in the large limit. The closed string interaction is described by a vertex which is a bosonic analog of the supersymmetric one, recently proposed by Dijkgraaf, Verlinde and Verlinde.

Paper Structure

This paper contains 5 sections, 160 equations, 2 figures.

Table of Contents

  1. Introduction
  2. $S^N{\bf R}^{D}$ orbifold sigma model
  3. Twist fields
  4. Scattering amplitude
  5. Conclusion

Figures (2)

  • Figure 1: The diagramm representation of different correlators in eq.(4.32)
  • Figure 2: The $N$-fold covering of the $z$-sphere by the $t$-sphere.