Real and virtual bound states in Lüscher corrections for CP³ magnons

Abbott, Michael C., Aniceto, Inês and Bombardelli, Diego (2012) Real and virtual bound states in Lüscher corrections for CP³ magnons. Journal of Physics A: Mathematical and Theoretical, 45, [335401]. (doi:10.1088/1751-8113/45/33/335401).

Abstract

We study classical and quantum finite-size corrections to giant magnons in AdS4 × CP3 using generalized Lüscher formulae. Lüscher F-terms are organized in powers of the exponential suppression factor (e−Δ/2h)m, and we calculate all terms in this series, matching one-loop algebraic curve results from our previous paper [1]. Starting with the second term, the structure of these terms is different to those in AdS5 × S5 thanks to the appearance of heavy modes in the loop, which can here be interpreted as two-particle bound states in the mirror theory. By contrast, physical bound states can represent dyonic giant magnons, and we also calculate F-terms for these solutions. Lüscher μ-terms, suppressed by e−Δ/E, instead give at leading order the classical finite-size correction. For the elementary dyonic giant magnon we recover the correction given by [2]. We then extend this to calculate the next term in 1/h, giving a one-loop prediction. Finally we also calculate F-terms for the various composite giant magnons, RP3 and 'big', again finding agreement to all orders.

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Contributors

Author: Inês Aniceto

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