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Highest states in light-cone $AdS_5\times S^5$ superstring

Matteo Beccaria·Gian Fabrizio De Angelis·Luigi Del Debbio·Marco Picariello
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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.

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Matteo Beccaria, Gian Fabrizio De Angelis, Luigi Del Debbio, Marco Picariello. 2007-01-18. Highest states in light-cone $AdS_5\times S^5$ superstring. https://doi.org/10.1088/1126-6708%2F2007%2F04%2F034

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