On Lorentz invariance and supersymmetry of four particle scattering amplitudes in $S^N{\mathbb{R}}^8$ orbifold sigma model

Abstract

The $S^N{\mathbb{R}}^8$ supersymmetric orbifold sigma model is expected to describe the IR limit of the Matrix string theory. In the framework of the model the type IIA string interaction is governed by a vertex which was recently proposed by R.Dijkgraaf, E.Verlinde and H.Verlinde. By using this interaction vertex we derive all four particle scattering amplitudes directly from the orbifold model in the large $N$ limit.

Latex, 23 pages

References in corpus (5)

• Matrix String Theory
• Strings from Matrices
• Proposals on nonperturbative superstring interactions
• Virasoro amplitude from the $S^N{\mathbb{R}}^{24}$ orbifold sigma model
• Four graviton scattering amplitude from $S^N{\mathbf{R}}^8$ supersymmetric orbifold sigma model

Cited by in corpus (5)

• Massless black holes and black rings as effective geometries of the D1-D5 system
• Worldsheet correlators in AdS(3)/CFT(2)
• Cubic couplings in D=6 N=4b supergravity on AdS_3\times S^3
• Matrix strings in a B-field
• Matrix string theory, contact terms, and superstring field theory