Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J

Details Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J

2009-03-19

arxiv.org/abs/0903.3365v2

Phys.Rev.D80:026005,2009

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 3 figures, 2 tables. v2 adds note on breather solution, and minor clarifications

Scientific paper

10.1103/PhysRevD.80.026005

This paper studies giant magnons in AdS_4 x CP^3 using both the string sigma-model and the algebraic curve. We complete the dictionary of solutions by finding the dyonic generalisation of the CP^1 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 RP^3 magnon we recover the S^5 answer, but for the `small' and `big' giant magnons we obtain new corrections.

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