Giant Magnons in AdS 4 × CP 3 : Embeddings , Charges and a Hamiltonian
نویسنده
چکیده
This paper studies giant magnons in CP , which in all known cases are old solutions from S placed into twoand three-dimensional subspaces of CP , namely CP , RP 2 and RP . We clarify some points about these subspaces, and other potentially interesting threeand four-dimensional subspaces. After confirming that ∆ − (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.
منابع مشابه
Finite size giant magnons in the SU ( 2 ) × SU ( 2 ) sector of AdS 4 × CP 3 Tomasz Lukowski 1 and Olof
We use the algebraic curve and Lüscher’s μ-term to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2)× SU(2) sector of AdS4 ×CP3. We consider a single magnon as well as one magnon in each SU(2). In addition the algebraic curve computation is generalized to give the leading order correction for an arbitrary multi-magnon state in the SU(2)...
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We use the algebraic curve and Lüscher’s μ-term to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2)× SU(2) sector of AdS4 ×CP3. We consider a single magnon as well as one magnon in each SU(2). In addition the algebraic curve computation is generalized to give the leading order correction for an arbitrary multi-magnon state in the SU(2)...
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