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

2009

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

Abbott, Michael C., Aniceto, Inês, Sax, Olof Ohlsson

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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.

Built on

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V. A. Kazakov, A. Marshakov, J. A. Minahan and K. Zarembo,
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