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Lorentz-covariant Green-Schwarz superstring amplitudes

1992/11/04 by Nathan Berkovits · 15 citations
Physics and Astronomy · #Amplitude #BRST quantization #Black Holes and Theoretical Physics #Covariant transformation #Gauge boson #Gauge fixing #Gauge theory #Green–Schwarz mechanism #Lorentz covariance #Lorentz transformation #Massless particle #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scattering amplitude #String (physics) #String field theory #Superstring theory #Supersymmetry #Twistor theory #Worldsheet #hep-th

paper · pdf · doi:10.1016/0370-2693(93)90748-7

published in Physics Letters B 300(1-2), 53-60 (Elsevier BV) · 11 pages plain Tex, KCL-TH-92-6

arxiv created 1992/11/04 · openalex publication_date 1993/02/01 · arxiv updated 2011/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations