R. Roiban and A.A. Tseytlin JHEP11(2009)013 doi:10.1088/1126-6708/2009/11/013
Quantum strings in AdS5 × S5: strong-coupling corrections to dimension of Konishi operator
R. Roibana,c and A.A. Tseytlinb,c
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= 4 SYM theory. This determines the general structure of the strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for several semiclassical string states to extract information about the leading coefficients in this expansion. Our prediction is Δ = 2λ1/4+b0+b1λ−1/4+b3λ−3/4+..., where b0 and b1 are rational while b3 is transcendental (containing ζ(3)). Explicitly, we argue that b0 = Δ0−4 (where Δ0 is the canonical dimension of the corresponding gauge-theory operator in the Konishi multiplet) and b1 = 1. Our conclusions are sensitive to few assumptions, implied by a correspondence with flat-space expressions, on how to translate semiclassical quantization results into predictions for the exact quantum string spectrum.
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11.25.Hf Conformal field theory, algebraic structures
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Issue 11 (November 2009)
Received 20 July 2009, accepted for publication 6 October 2009
Published 5 November 2009
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Quantum strings in AdS5 × S5: strong-coupling corrections to dimension of Konishi operator
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