Calculation of Green-Schwarz Superstring Amplitudes Using the N=2 Twistor-String Formalism

Abstract

The manifestly SU(4)xU(1) super-Poincare invariant free-field N=2 twistor- string action for the ten-dimensional Green-Schwarz superstring is quantized using standard BRST methods. Unlike the light-cone and semi-light-cone gauge-fixed Green-Schwarz actions, the twistor-string action does not require interaction-point operators at the zeroes of the light-cone momentum, $\dz x^+$, which complicated all previous calculations. After defining the vertex operator for the massless physical supermultiplet, as well as two picture-changing operators and an instanton-number-changing operator, scattering amplitudes for an arbitrary number of loops and external massless states are explicitly calculated by evaluating free-field correlation functions of these operators on N=2 super-Riemann surfaces of the appropriate topology, and integrating over the global moduli. Although there is no sum over spin structures, only discrete values of the global U(1) moduli contribute to the amplitudes. Because the spacetime supersymmetry generators do not contain ghost fields, the amplitudes are manifestly spacetime supersymmetric, there is no multiloop ambiguity, and the non-renormalization theorem is easily proven. By choosing the picture-changing operators to be located at the zeroes of $\dz x^+$, these amplitudes are shown to agree with amplitudes obtained using the manifestly unitary light-cone gauge formalism.

46 pages plain Tex, ITP-SB-92-42

References in corpus (3)

• The Heterotic Green-Schwarz Superstring on an N=(2,0) Super-Worldsheet
• A twistor formulation of the heterotic D=10 superstring with manifest (8,0) worldsheet supersymmetry
• Lorentz-Covariant Green-Schwarz Superstring Amplitudes

Cited by in corpus (42)

• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• N=4 Topological Strings
• ICTP Lectures on Covariant Quantization of the Superstring
• SUPERSTRINGS AND SUPERMEMBRANES IN THE DOUBLY SUPERSYMMETRIC GEOMETRICAL APPROACH
• Covariant Quantization of the Green-Schwarz Superstring in a Calabi-Yau Background
• Cubic Twistorial String Field Theory
• Superspace Effective Actions for 4D Compactifications of Heterotic and Type II Superstrings
• Strings on pp-waves and massive two dimensional field theories
• ON THE GENERALIZED ACTION PRINCIPLE FOR SUPERSTRINGS AND SUPERMEMBRANES
• Generalized Action Principle and Superfield Equations of Motion for d=10 D-p-branes
• The Ten-Dimensional Green-Schwarz Superstring is a Twisted Neveu-Schwarz-Ramond String
• Finiteness and Unitarity of Lorentz-Covariant Green-Schwarz Superstring Amplitudes
• Tree and Loop Amplitudes in Open Twistor String Theory
• D=10 super-D9-brane
• Massless and Massive Three Dimensional Super Yang-Mills Theory and Mini-Twistor String Theory
• N=2 Superconformal Description of Superstring in Ramond-Ramond Plane Wave Backgrounds
• Twistor--like Formulation of the Supermembrane in D=11 ${}^{\ast }$
• Covariant Computation of the Low Energy Effective Action of the Heterotic Superstring
• Antimatter research in Space
• Real forms of nonlinear superconformal and quasi-superconformal algebras and their unified realization
• Doubly Supersymmetric Null Strings and String Tension Generation
• On the Picture Dependence of Ramond-Ramond Cohomology
• N=2 Sigma Models for Ramond-Ramond Backgrounds
• On Type II strings in exact superconformal non-constant RR backgrounds
• Generalized action principle and extrinsic geometry for N=1 superparticle
• Lorentz-Covariant Green-Schwarz Superstring Amplitudes
• Worldsheet theory of light-cone gauge noncritical strings on higher genus Riemann surfaces
• Self-Dual Super-Yang-Mills as a String Theory in $(x,\theta )$ Space
• Self-Dual Supergravity from N=2 Strings
• A New Sigma Model Action for the Four-Dimensional Green-Schwarz Heterotic Superstring
• On the Chiral Fermions in the Twistor--Like Formulation of D=10 Heterotic String
• Kappa-Symmetry and Bogomol'ny Bound
• Consistency of Superspace Low Energy Equations of Motion of 4D Type II Superstring with Type II Sigma Model at Tree-Level
• Towards a stringy extension of self-dual super Yang-Mills
• Superembedding Approach and S-Duality. A unified description of superstring and super-D1-brane
• Picture-Changing operators and Space-Time supersymmetry
• Black Hole Partition Function using Hybrid Formalism of Superstrings
• Unitary Representations of Some Infinite Dimensional Lie Algebras Motivated by String Theory on AdS_3
• On Aspects and Implications of the New Covariant 4D, N = 1 Green-Schwarz Sigma-model Action
• Canonical Covariant Formulation of Green-Schwarz Superstring without Second Class Constraints
• A note on topological amplitudes in hybrid string theory
• A Representation of Symmetry Generators for the Type IIB Superstring on a Plane Wave in the U(4) Formalism