The SL(2,R)WZWN string model as a deformed oscillator and its classical-quantum string regimes
arXiv:hep-th/0606106 · doi:10.1142/S0217732307023456
Abstract
We study the SL(2,R) WZWN string model describing bosonic string theory in AdS_3 space-time as a deformed oscillator together with its mass spectrum and the string modified SL(2,R) uncertainty relation. The SL(2,R) string oscillator is far more quantum (with higher quantum uncertainty) and more excited than the non deformed one. This is accompassed by the highly excited string mass spectrum which is drastically changed with respect to the low excited one. The highly excited quantum string regime and the low excited semiclassical regime of the SL(2,R) string model are described and shown to be the quantum-classical dual of each other in the precise sense of the usual classical-quantum duality. This classical-quantum realization is not assumed nor conjectured. The quantum regime (high curvature) displays a modified Heisenberg's uncertainty relation, while the classical (low curvature) regime has the usual quantum mechanics uncertainty principle.
11 pages; no figures
References in corpus (9)
- An Introduction to T-Duality in String Theory
- A Canonical Approach to Duality Transformations
- Quantum String Dynamics in the conformal invariant SL(2,R) WZWN Background: Anti-de Sitter Space with Torsion
- QFT, String Temperature and the String Phase of De Sitter Space-time
- Conceptual unification of elementary particles, black holes, quantum de Sitter and Anti de Sitter string states
- Quantum Coherent String States in AdS_3 and SL(2,R) WZWN Model
- From the WZWN Model to the Liouville Equation: Exact String Dynamics in Conformally Invariant AdS Background
- New Coherent String States and Minimal Uncertainty in WZWN Models
- Semiclassical (QFT) and Quantum (String) anti - de Sitter Regimes: New Results