Efficient precision quantization in AdS/CFT

TL;DR

This paper introduces an efficient method for calculating finite-size effects in AdS/CFT string theory, specifically for two-cut solutions like the giant magnon, and confirms the results with Luscher-Klassen-Melzer formulas.

Contribution

It presents a general, efficient approach to compute fluctuation frequencies and finite-size corrections in AdS_5xS^5 string theory at one-loop, applicable to complex multi-cut solutions.

Findings

Finite-size corrections match Luscher-Klassen-Melzer predictions.

Method efficiently computes fluctuation frequencies for complex solutions.

Finite-size effects are analyzed at subleading order.

Abstract

Understanding finite-size effects is one of the key open questions in solving planar AdS/CFT. In this paper we discuss these effects in the AdS_5xS^5 string theory at one-loop in the world-sheet coupling. First we provide a very general, efficient way to compute the fluctuation frequencies, which allows to determine the energy shift for very general multi-cut solutions. Then we apply this to two-cut solutions, in particular the giant magnon and determine the finite-size corrections at subleading order. The latter are then compared to the finite-size corrections from Luscher-Klassen-Melzer formulas and found to be in perfect agreement.