The covariant scattering and cohomology of $W_3$ strings

Abstract

A general formalism for covariant $W_3$ string scattering is given. It is found necessary to use screening charges that are constructed from the $W_3$ fields including ghosts. The scattering amplitudes so constructed contain within them Ising model correlation functions and agree with those found previously by the authors. Using the screening charge and a picture changing operator, an infinite number of states in the cohomology of Q are generated from only three states. We conjecture that, apart from discrete states, these are all the states in the cohomology of Q.

36 pages, KCL-TH-93-2

References in corpus (6)

• On the Spectrum and Scattering of W_3 Strings
• Discrete States in the $W_3$ String
• The Interacting $W_3$ String
• The Low-level Spectrum of the $W_3$ String
• $W_3$ string scattering
• Discrete States in Two-Dimensional Quantum Gravity

Cited by in corpus (10)

• On the Spectrum and Scattering of W_3 Strings
• Explicit Construction of the BRST Charge for W_4
• The Interacting $W_3$ String
• On the BRST Operator of $W$-Strings
• A W-String Realization of the Bosonic String
• $W_3$ strings, parafermions and the Ising model
• New Realisations of Minimal Models and the Structure of W-Strings
• On the BRST structure of W_3 gravity coupled to c=2 matter
• Parafermions, $W$ Strings and their BRST Charges
• $W$ Strings and Cohomology in Parafermionic Theories