Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3

TL;DR

This paper calculates quantum corrections to finite-size effects for dyonic magnons in AdS_4 x CP^3 using two approaches, confirming the integrability conjecture through exact agreement of results.

Contribution

It introduces a comparison between algebraic curve quantization and Lüscher formula calculations for dyonic magnons, validating the all-loop integrability in AdS_4/CFT_3.

Findings

Exact match between algebraic curve and Lüscher formula results

Supports the all-loop integrability conjecture

Provides precise quantum corrections for dyonic magnons

Abstract

We compute quantum corrections to finite-size effects for various dyonic giant magnons in the AdS_4 x CP^3 in two different approaches. The off-shell algebraic curve method is used to quantize the classical string configurations in semi-classical way and to compute the corrections to the string energies. These results are compared with the F-term L\"uscher formula based on the S-matrix of the AdS_4 / CFT_3. The fact that the two results match exactly provides another stringent test for the all-loop integrability conjecture and the exact S-matrix based on it.