Dyonic giant magnons in CP3: Strings and curves at finite J
Dyonic giant magnons in CP3: Strings and curves at finite J
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.
hep-th
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Sax, Olof Ohlsson
dcbb6b39-d942-4b00-873f-f11df25bf01a
27 July 2009
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Sax, Olof Ohlsson
dcbb6b39-d942-4b00-873f-f11df25bf01a
Abbott, Michael C., Aniceto, Inês and Sax, Olof Ohlsson
(2009)
Dyonic giant magnons in CP3: Strings and curves at finite J.
Physical Review D, 80, [026005].
(doi:10.1103/PhysRevD.80.026005).
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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More information
Accepted/In Press date: 19 March 2009
Published date: 27 July 2009
Additional Information:
22 pages, 3 figures, 2 tables. v2 adds note on breather solution, and minor clarifications
Keywords:
hep-th
Identifiers
Local EPrints ID: 424147
URI: http://eprints.soton.ac.uk/id/eprint/424147
ISSN: 1550-7998
PURE UUID: f8d4b992-1cbe-49ec-aa90-18ed9e61de27
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Date deposited: 05 Oct 2018 11:30
Last modified: 16 Mar 2024 04:39
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Author:
Michael C. Abbott
Author:
Olof Ohlsson Sax
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