Dyonic Giant Magnons in CP³: Strings and Curves at Finite J

2009/03/31 by Michael C. Abbott, Inês Aniceto, Olof Ohlsson Sax · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1103/physrevd.80.026005

published as Phys.Rev.D80:026005,2009 · 22 pages, 3 figures, 2 tables. v2 adds note on breather solution, and minor clarifications

arxiv created 2009/05/21 · arxiv updated 2010/12/16

Abstract

This paper studies giant magnons in AdS₄ x CP³ using both the string sigma-model and the algebraic curve. We complete the dictionary of solutions by finding the dyonic generalisation of the CP¹ string solution, which matches the `small' giant magnon in the algebraic curve, and by pointing out that the solution recently constructed by the dressing method is the `big' giant magnon. We then use the curve to compute finite-J corrections to all cases, which for the non-dyonic cases always match the AFZ result. For the dyonic RP³ magnon we recover the S⁵ answer, but for the `small' and `big' giant magnons we obtain new corrections.

Cited by

• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons

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