Classical and quantum massive string

Abstract

The classical and the quantum massive string model based on a modified BDHP action is analyzed in the range of dimensions $1<d<25$. The discussion concerning classical theory includes a formulation of the geometrical variational principle, a phase-space description of the two-dimensional dynamics, and a detailed analysis of the target space geometry of classical solutions. The model is quantized using "old" covariant method. In particular an appropriate construction of DDF operators is given and the no-ghost theorem is proved. For a critical value of one of free parameters of the model the quantum theory acquires an extra symmetry not present on the classical level. In this case the quantum model is equivalent to the noncritical Polyakov string and to the old Fairlie-Chodos-Thorn massive string.

29 pages, 2 figures, LaTeX + epsf

References in corpus (1)

• First Quantized Noncritical Relativistic Polyakov String

Cited by in corpus (9)

• Electromagnetic Interaction of Massive Spin-3 State from String Theory
• String coherent vertex operators of Neveu-Schwarz and Ramond states
• Non-Critical Light-Cone String
• Spectrum Generating Algebra and No-Ghost Theorem for Fermionic Massive String
• Light-cone formulation and spin spectrum of non-critical fermionic string
• Light-cone formulation and spin spectra of massive strings
• Joining-splitting interaction of non-critical string
• Anomalus BRST Complexes for Non-Critical Massive Strings
• Cohomological resolutions for anomalous Lie constraints