Highest states in light-cone $AdS_5\times S^5$ superstring
Abstract
We study the highest states in the compact rank-1 sectors of the AdS5 X S5 superstring in the framework of the recently proposed light cone Bethe Ansatz equations. In the su(1|1) sector we present strong coupling expansions in the two limits L,lambda -> OO (expanding in power of lambda^{-1/4} with fixed large L) and lambda, L -> OO (expanding in power of 1/L with fixed large lambda) where lambda is the 't Hooft coupling and L is the number of Bethe momenta. The two limits do not commute apart from the leading term which reproduces the result obtained with the Arutyunov-Frolov-Staudacher phase in the lambda, L -> OO limit. In the su(2) sector we perform the strong coupling expansions in the L->OO limit up to O(lambda^{-1/4}), and our result is in agreement with previuos String Bethe Ansatz analysis.
Cite
@article{arxiv.hep-th/0701167,
title = {Highest states in light-cone $AdS_5\times S^5$ superstring},
author = {Matteo Beccaria and Gian Fabrizio De Angelis and Luigi Del Debbio and Marco Picariello},
journal= {arXiv preprint arXiv:hep-th/0701167},
year = {2010}
}
Comments
33 pages, 3 eps figures