The Interacting W₃ String

1992/12/31 by H. Lu, H. Lü, C. N. Pope +4 · 2 citations
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Magnetic confinement fusion research #Particle accelerators and beam dynamics #hep-th

paper · pdf · doi:10.1016/0550-3213(93)90040-v

published as Nucl.Phys.B403:351-376,1993 · (Revised version), 26 pages, Plain Tex, CTP TAMU-86/92, KUL-TF-92/43

arxiv created 1993/01/04 · openalex publication_date 1993/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a procedure for computing gauge-invariant scattering amplitudes in the W₃ string, and use it to calculate three-point and four-point functions. We show that non-vanishing scattering amplitudes necessarily involve external physical states with excitations of ghosts as well as matter fields. The crossing properties of the four-point functions are studied, and it is shown that the duality of the Virasoro string amplitudes generalises in the W₃ string, with different sets of intermediate states being exchanged in different channels. We also exhibit a relation between the scattering amplitudes of the W₃ string and the fusion rules of the Ising model.

Citations

• Infinite conformal symmetry in two-dimensional quantum field theory
• Discrete States in the W₃ String
• The Low-level Spectrum of the W₃ String

Cited by

• On the Spectrum and Scattering of W₃ Strings
• Physical states and BRST operators for higher-spin W strings
• The complete cohomology of the string
• Critical and non-critical strings