Abstract
Following our earlier work in arXiv:0906.4294 we show how to use semiclassical string quantization approach to compute the leading corrections to the energy of AdS 5 × S 5 string states on the first excited string level that should correspond to operators in the Konishi multiplet of N = 4 SYM theory. Compared to examples in our previous paper the string solutions we consider here carry an extra component of S 5 angular momentum J. This facilitates their identification with operators in the Konishi multiplet. We show that for such string states with J = 2 the coefficient of the subleading λ − 1 / 4 term in the large string tension expansion of the energy is twice the one found in arXiv:0906.4294. The resulting value matches the one found for the Konishi state in the sl ( 2 ) sector from the Y-system/TBA approach, resolving an apparent disagreement claimed earlier.
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