Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-17
JHEP 0902:046,2009
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, references and footnote added
Scientific paper
10.1088/1126-6708/2009/02/046
We perform a detailed study of bosonic type IIA string theory in a large light-cone momentum / near plane wave limit of $AdS_4 \times CP_3$. In order to attain this we derive the Hamiltonian up to cubic and quartic order in number of fields and calculate the energies for string excitations in a $R\times S^2 \times S^2$ subspace. The computation for the string energies is performed for arbitrary length excitations utilizing an unitary transformation which allows us to remove the cubic terms in the Hamiltonian. We then rewrite a recent set of proposed all loop Bethe equations in a light-cone language and compare their predictions with the obtained string energies. We find perfect agreement.
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