Quantum fluctuations of rotating strings in AdS_5 x S^5

TL;DR

This paper develops a systematic method to compute quantum fluctuations of rotating strings in AdS_5 x S^5, providing explicit calculations of one-loop corrections for various sectors and their impact on string energy.

Contribution

It introduces a new systematic approach for calculating one-loop quantum corrections to rotating strings in AdS_5 x S^5, with explicit results for multiple sectors.

Findings

Explicit one-loop quantum corrections for constant radii strings.

Leading quantum corrections to space-time energy in different sectors.

Method applicable to large spin expansions.

Abstract

We discuss quantum fluctuations of a class of rotating strings in AdS_5 x S^5. In particular, we develop a systematic method to compute the one-loop sigma-model effective actions in closed forms as expansions for large spins. As examples, we explicitly evaluate the leading terms for the constant radii strings in the SO(6) sector with two equal spins, the SU(2) sector, and the SL(2) sector. We also obtain the leading quantum corrections to the space-time energy for these sectors.