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TMF, 2011 Volume 167, Number 3, Pages 342–353 (Mi tmf6645)

Semiclassical short strings in $\text{AdS}_5\times S^5$

M. Beccariaa, G. Macorinia, A. Tirziub

a Physics Department, Salento University and INFN, Lecce, Italy
b American Physical Society, Ridge, NY, USA

Abstract: In the short-string limit, we present results for the one-loop correction to the energy of string solutions in AdS$_5\times S^5$ that belong to a certain class. The computations are based on the observation that the fluctuation operators, just as for rigid spinning-string elliptic solutions, can be written in the single-gap Lamé form. Based on these computations, we reveal a remarkable universality of the expression for the energy of short semiclassical strings, which may help in better understanding the structure of the strong-coupling expansion of the anomalous dimensions of dual gauge theory operators.

Keywords: AdS/CFT correspondence, integrability, Bethe ansatz.

Received: 23.06.2011

DOI: 10.4213/tmf6645


 English version:
Theoretical and Mathematical Physics, 2011, 167:3, 695–704

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