Lorentz-Covariant Green-Schwarz Superstring Amplitudes

Abstract

In a recent paper, the BRST formalism for the gauge-fixed N=2 twistor-string was used to calculate Green-Schwarz supersring scattering amplitudes with an arbitrary number of loops and external massless states. Although the gauge-fixing procedure preserved the worldsheet N=2 superconformal invariance of the twistor-string, it broke the target-space SO(9,1) super-Poincaré invariance down to an SU(4)xU(1) subgroup. In this paper, generators for the SO(9,1) super-Poincaré transformations, as well as manifestly covariant vertex operators, are explicitly constructed out of the gauge-fixed matter fields. The earlier calculated amplitudes are then expressed in manifestly Lorentz-covariant notation.

11 pages plain Tex, KCL-TH-92-6

References in corpus (2)

• The Heterotic Green-Schwarz Superstring on an N=(2,0) Super-Worldsheet
• Calculation of Green-Schwarz Superstring Amplitudes Using the N=2 Twistor-String Formalism

Cited by in corpus (11)

• Two-Loop Superstrings VI: Non-Renormalization Theorems and the 4-Point Function
• Covariant Quantization of the Green-Schwarz Superstring in a Calabi-Yau Background
• Two-Loop Superstrings V: Gauge Slice Independence of the N-Point Function
• The Box Graph In Superstring Theory
• Calculation of Green-Schwarz Superstring Amplitudes Using the N=2 Twistor-String Formalism
• Finiteness and Unitarity of Lorentz-Covariant Green-Schwarz Superstring Amplitudes
• A note on chiral fermions and heterotic strings
• Extra Dimensions in Superstring Theory
• A New Sigma Model Action for the Four-Dimensional Green-Schwarz Heterotic Superstring
• Complex Geometry and Supergeometry
• Canonical Covariant Formulation of Green-Schwarz Superstring without Second Class Constraints