Four graviton scattering amplitude from $S^N{\mathbf{R}}^8$ supersymmetric orbifold sigma model

Abstract

In the IR limit the Matrix string theory is expected to be described by the $S^N{\mathbb{R}}^8$ supersymmetric orbifold sigma model. Recently Dijkgraaf, Verlinde and Verlinde proposed a vertex that may describe the type IIA string interaction. In this paper using this interaction vertex we derive the four graviton scattering amplitude from the orbifold model in the large $N$ limit.

latex, 35 pages, misprints are corrected, the final version to appear in Nucl.Phys.B

References in corpus (6)

• Matrix String Theory
• Strings from Matrices
• Proposals on nonperturbative superstring interactions
• Matrix Theory
• Heterotic M(atrix) Strings and Their Interactions
• Virasoro amplitude from the $S^N{\mathbb{R}}^{24}$ orbifold sigma model

Cited by in corpus (59)

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• Giant magnons in the D1-D5 system
• A Spin Chain for the Symmetric Product CFT_2
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• A perturbative CFT dual for pure NS-NS AdS${}_3$ strings
• Deforming the D1D5 CFT away from the orbifold point
• S-matrix for magnons in the D1-D5 system
• Excitations in the deformed D1D5 CFT
• Correlators of the symmetric product orbifold
• Emission from the D1D5 CFT
• Effect of the deformation operator in the D1D5 CFT
• Emission from the D1D5 CFT: Higher Twists
• Operator mixing for string states in the D1-D5 CFT near the orbifold point
• Lifting of D1-D5-P states
• PP-wave String Interactions from String Bit Model
• Effect of the twist operator in the D1D5 CFT
• Cubic couplings in D=6 N=4b supergravity on AdS_3\times S^3
• Bogoliubov coefficients for the twist operator in the D1D5 CFT
• Twist-nontwist correlators in M^N/S_N orbifold CFTs
• Analyzing the squeezed state generated by a twist deformation
• Lifting at higher levels in the D1D5 CFT
• Operator mixing in deformed D1D5 CFT and the OPE on the cover
• Full action of two deformation operators in the D1D5 CFT
• Lifting of level-1 states in the D1D5 CFT
• Universal lifting in the D1-D5 CFT
• On the Dynamics of Protected Ramond Ground States in the D1-D5 CFT
• Lifting of states in 2-dimensional $N=4$ supersymmetric CFTs
• One-Loop Transition Amplitudes in the D1D5 CFT
• Stress-energy tensor correlators from the world-sheet
• Intertwining Relations for the Deformed D1D5 CFT
• Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$
• Matrix strings in a B-field
• Matrix string theory, contact terms, and superstring field theory
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• $\beta$-deformation for matrix model of M-theory
• Bosonization, cocycles, and the D1-D5 CFT on the covering surface
• Dynamical evolution in the D1D5 CFT
• Comments on Supersymmetry Algebra and Contact Term in Matrix String Theory
• On Lorentz invariance and supersymmetry of four particle scattering amplitudes in $S^N{\mathbb{R}}^8$ orbifold sigma model
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• The Dual of a Tidal Force in the D1D5 CFT
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
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• Second order effect of twist deformation in the D1D5 CFT
• ${\text{AdS}}_3/{\text{CFT}}_2$ at higher genus
• DLCQ Strings, Twist Fields and One-Loop Correlators on a Permutation Orbifold
• Two-Loop String Theory on Null Compactifications
• Exact chiral ring of AdS(3)/CFT(2)
• Open Superstring on Symmetric Product