2011/11/30 by Michael C. Abbott, Inês Aniceto, Diego Bombardelli
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1751-8113/45/33/335401
published as J. Phys. A 45 335401, 2012 · 33 pages and 3 figures. v3 adds new section treating F-terms of all orders; version to appear in J. Phys. A
arxiv created 2012/07/28 · arxiv updated 2012/08/03
We study classical and quantum finite-size corrections to giant magnons in AdS4 x CP3 using generalised Lüscher formulae. Lüscher F-terms are organised in powers of the exponential suppression factor exp(-Delta/2h)m, and we calculate all terms in this series, matching one-loop algebraic curve results from our previous paper arXiv:1006.2174. Starting with the second term, the structure of these terms is different to those in AdS5 x 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 mu-terms, suppressed by exp(-Delta/E), instead give at leading order the classical finite-size correction. For an elementary dyonic giant magnon, we recover the correction given by arXiv:0903.3365. 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.