Pulsating Strings in Lunin-Maldacena Backgrounds

TL;DR

This paper studies pulsating strings in Lunin-Maldacena backgrounds, deriving energy-oscillation relations, quantizing the strings, and analyzing effects of deformations on highly excited string states.

Contribution

It provides a detailed analysis of pulsating strings in deformed backgrounds, including quantization and the impact of deformations on energy spectra.

Findings

Classical energy-oscillation relation derived for small deformations.

Quantization matches classical results for Minkowski background with even oscillation numbers.

Deformation parameter influences the energy spectrum in deformed AdS_5xS^5.

Abstract

We consider pulsating strings in Lunin-Maldacena backgrounds, specifically in deformed Minkowski spacetime and deformed AdS_5xS^5. We find the relation between the energy and the oscillation number of the pulsating string when the deformation is small. Since the oscillation number is an adiabatic invariant it can be used to explore the regime of highly excited string states. We then quantize the string and look for such a sector. For the deformed Minkowski background we find a precise match with the classical results if the oscillation number is quantized as an even number. For the deformed AdS_5xS^5 we find a contribution which depends on the deformation parameter.