The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve

TL;DR

This paper introduces a new method based on integrability to compute quantum fluctuation spectra around classical strings in AdS(5)xS(5), applicable to various configurations and treating all excitations uniformly.

Contribution

It presents a novel, unambiguous approach for calculating fluctuation frequencies in the superstring spectrum using the algebraic curve method.

Findings

Revisited frequencies for SU(2) and SL(2) circular strings

Results agree with previous computations

Method applicable to arbitrary classical solutions

Abstract

We propose a method for computing the energy level spacing around classical string solutions in AdS(5)xS(5). This method is based on the integrable structure of the string and can be applied to an arbitrary classical configuration. Our approach treats in equal footing the bosonic and fermionic excitations and provides an unambiguous prescription for the labeling of the fluctuation frequencies. Finally we revisit the computation of these frequencies for the SU(2) and SL(2) circular strings and compare our results to the existing ones.