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Dyonic giant magnons in CP3: Strings and curves at finite J

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
1550-7998
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.
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. (doi:10.1103/PhysRevD.80.026005).

Record type: Article

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: https://eprints.soton.ac.uk/id/eprint/424147
ISSN: 1550-7998
PURE UUID: f8d4b992-1cbe-49ec-aa90-18ed9e61de27

Catalogue record

Date deposited: 05 Oct 2018 11:30
Last modified: 01 Nov 2018 17:30

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