Bethe ansatz and fluctuations in SU(3) Yang-Mills operators

Abstract

We consider the scalar operators corresponding to semiclassical string states in AdS5xS5 with the three angular momenta in S5 non-trivial. The string states recieve quantum corrections and we study the corresponding process on the gauge theory side. The anomalous dimension of the scalar operators is computed using the Bethe ansatz and we find the correction that corresponds to the energy of the quantized string. We restrict for simplicity to the case where two of the angular momenta in S5 are equal.

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