The University of Southampton
University of Southampton Institutional Repository

Giant magnons in AdS4 x CP3: Embeddings, charges and a Hamiltonian

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
1029-8479
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
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. (doi:10.1088/1126-6708/2009/04/136).

Record type: Article

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.

Full text not available from this repository.

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: https://eprints.soton.ac.uk/id/eprint/424142
ISSN: 1029-8479
PURE UUID: 2804f57d-d4b3-41fb-886f-fa8c83408ab8

Catalogue record

Date deposited: 05 Oct 2018 11:30
Last modified: 23 Sep 2019 16:46

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×