Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-03-21
JHEP 0705:021,2007
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, 1 figure, 12 tables, JHEP style. v2: clarifications and references added. v3: reference added, version to be publish
Scientific paper
10.1088/1126-6708/2007/05/021
We perform a detailed test of the quantum integrability of the AdS_5 x S^5 superstring in uniform light-cone gauge in its near plane-wave limit. For this we establish the form of the general nested light-cone Bethe equations for the quantum string from the long range psu(2,2|4) Bethe equations of Beisert and Staudacher. Moreover the scheme for translating excited string states into Bethe root excitations is given. We then confront the direct perturbative diagonalization of the light-cone string Hamiltonian in the near plane-wave limit with the energy spectrum obtained from the general nested light-cone Bethe equations in various higher rank sectors. The analysis is performed both analytically and numerically up to the level of six impurity states and subsectors of maximal rank four. We find perfect agreement in all cases lending strong support to the quantum integrability of the AdS_5 x S^5 superstring.
Hentschel Alexander
Plefka Jan
Sundin Per
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