Semi-classical strings in $(2+1)-$dimensional backgrounds

Abstract

This study analyzes the geometrical relationship between a classical string and its semi-classical quantum model. From an arbitrary $(2+1)-$dimensional geometry, a specific ansatz for a classical string is used to generate a semi-classical quantum model. In this framework, examples of quantum oscillations and quantum free particles are presented that uniquely determine a classical string and the space-time geometry where its motion takes place.

11 pages, 6 figures

References in corpus (4)

• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• On the pulsating strings in AdS_5 x T^{1,1}
• Pulsating Strings in Lunin-Maldacena Backgrounds
• Angular invariant quantum mechanics in arbitrary dimension