Non-Critical Light-Cone String

Abstract

The free non-critical string quantum model is constructed directly in the light-cone variables in the range of dimensions $1<D<25$. The longitudinal degrees of freedom are described by an abstract Verma module. The central charge of this module is restricted by the requirement of the closure of the nonlinear realization of the Poincare algebra. The spin content of the model is analysed. In particular for D=4 the explicit formulae for the character generating functions of the open and closed massive strings are given and the spin spectrum of first 12 excited levels is calculated. It is shown that for the space-time dimension in the range $1<D<25$ the non-critical light-cone string is equivalent to the critical massive string and to the non-critical Nambu-Goto string.

20 pages, Latex

References in corpus (3)

• Classical and quantum massive string
• First Quantized Noncritical Relativistic Polyakov String
• Sub-Critical Closed String Field Theory in D Less Than 26

Cited by in corpus (10)

• Towards a Theory of the QCD String
• Yang--Mills Glueballs as Closed Bosonic Strings
• String coherent vertex operators of Neveu-Schwarz and Ramond states
• Spectrum Generating Algebra and No-Ghost Theorem for Fermionic Massive String
• Light-cone formulation and spin spectrum of non-critical fermionic string
• Anomalus BRST Complexes for Non-Critical Massive Strings
• Joining-splitting interaction of non-critical string
• Light-cone formulation and spin spectra of massive strings
• Cohomological resolutions for anomalous Lie constraints
• Non-critical string, Liouville theory and geometric bootstrap hypothesis