Giant magnons in AdS4 x CP3: Embeddings, charges and a Hamiltonian
Giant magnons in AdS4 x CP3: Embeddings, charges and a Hamiltonian
This paper studies giant magnons in CP3, which in all known cases are old solutions from S5 placed into two- and three-dimensional subspaces of CP3, namely CP1, RP2 and RP3. We clarify some points about these subspaces, and other potentially interesting three- and four-dimensional subspaces. After confirming that E-(J1-J4)/2 is a Hamiltonian for small fluctuations of the relevant 'vacuum' point particle solution, we use it to calculate the dispersion relation of each of the inequivalent giant magnons. We comment on the embedding of finite-J solutions, and use these to compare string solutions to giant magnons in the algebraic curve.
hep-th
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
30 April 2009
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Abbott, Michael C. and Aniceto, Inês
(2009)
Giant magnons in AdS4 x CP3: Embeddings, charges and a Hamiltonian.
Journal of High Energy Physics, 04, [136].
(doi:10.1088/1126-6708/2009/04/136).
Abstract
This paper studies giant magnons in CP3, which in all known cases are old solutions from S5 placed into two- and three-dimensional subspaces of CP3, namely CP1, RP2 and RP3. We clarify some points about these subspaces, and other potentially interesting three- and four-dimensional subspaces. After confirming that E-(J1-J4)/2 is a Hamiltonian for small fluctuations of the relevant 'vacuum' point particle solution, we use it to calculate the dispersion relation of each of the inequivalent giant magnons. We comment on the embedding of finite-J solutions, and use these to compare string solutions to giant magnons in the algebraic curve.
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More information
Accepted/In Press date: 23 March 2009
Published date: 30 April 2009
Additional Information:
17 pages (plus appendices) and 1 figure. v2 has new discussion of placing finite-J giant magnons into CP^3, adds many references, and corrects a few typos
Keywords:
hep-th
Identifiers
Local EPrints ID: 424142
URI: http://eprints.soton.ac.uk/id/eprint/424142
ISSN: 1029-8479
PURE UUID: 2804f57d-d4b3-41fb-886f-fa8c83408ab8
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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
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