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arXiv · 0903.3365

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

Michael C. Abbott·Inês Aniceto·Olof Ohlsson Sax
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Abstract

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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Michael C. Abbott, Inês Aniceto, Olof Ohlsson Sax. 2009-03-19. Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J. https://doi.org/10.1103/physrevd.80.026005

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