Testing the nested light-cone Bethe equations of the AdS5 × S5 superstring
Abstract
We perform a detailed test of the quantum integrability of the AdS5 × S5 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 fraktur pfraktur sfraktur u(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 AdS5 × S5 superstring.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- May 2007
- DOI:
- 10.1088/1126-6708/2007/05/021
- arXiv:
- arXiv:hep-th/0703187
- Bibcode:
- 2007JHEP...05..021H
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 34 pages, 1 figure, 12 tables, JHEP style. v2: clarifications and references added. v3: reference added, version to be published