Highest states in light-coneAdS5×S5superstring | Zendy

Matteo Beccaria | Zendy; Gian Fabrizio De Angelis | Zendy; Marco Picariello | Zendy; Luigi Del Debbio | Zendy

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Highest states in light-coneAdS₅×S⁵superstring

Author(s) -

Matteo Beccaria,

Gian Fabrizio De Angelis,

Marco Picariello,

Luigi Del Debbio

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/04/034

Subject(s) - superstring theory , lambda , bethe ansatz , physics , coupling (piping) , light cone , mathematical physics , string (physics) , limit (mathematics) , cone (formal languages) , quantum mechanics , supersymmetry , mathematics , mathematical analysis , integrable system , mechanical engineering , engineering , algorithm

We study the highest states in the compact rank-1 sectors of the AdS5 X S5superstring in the framework of the recently proposed light cone Bethe Ansatzequations. In the su(1|1) sector we present strong coupling expansions in thetwo limits L,lambda -> OO (expanding in power of lambda^{-1/4} with fixed largeL) 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. Thetwo limits do not commute apart from the leading term which reproduces theresult 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 theL->OO limit up to O(lambda^{-1/4}), and our result is in agreement withpreviuos String Bethe Ansatz analysis.Comment: 33 pages, 3 eps figure

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