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2011

Real and Virtual Bound States in L\"uscher Corrections for CP3 Magnons

Abbott, Michael C., Aniceto, Inês, Bombardelli, Diego

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We study classical and quantum finite-size corrections to giant magnons in AdS_4 x CP^3 using generalised L\"uscher formulae.

L\"uscher 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 AdS_5 x S^5 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.

Real and Virtual Bound States in L\"uscher Corrections for CP3 Magnons · Around

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