String hypothesis for the AdS_5 x S^5 mirror

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTex, 18 pages, typos are corrected

Scientific paper

10.1088/1126-6708/2009/03/152

We discuss the states which contribute in the thermodynamic limit of the mirror theory, the latter is obtained from the light-cone gauge-fixed string theory in the AdS_5 x S^5 background by the double-Wick rotation. We analyze the Bethe-Yang equations for the mirror theory and formulate the string hypothesis. We show that in the thermodynamic limit solutions of the Bethe-Yang equations arrange themselves into Bethe string configurations similar to the ones appearing in the Hubbard model. We also derive a set of equations describing the bound states and the Bethe string configurations of the mirror theory.

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