77 research outputs found
Bethe Ansatz solutions for highest states in SYM and AdS/CFT duality
We consider the operators with highest anomalous dimension in the
compact rank-one sectors and of super Yang-Mills. We study the flow of from weak to strong 't
Hooft coupling by solving (i) the all-loop gauge Bethe Ansatz, (ii)
the quantum string Bethe Ansatz. The two calculations are carefully compared in
the strong coupling limit and exhibit different exponents in the leading
order expansion . We find and
for the gauge or string solution. This strong coupling discrepancy is not
unexpected, and it provides an explicit example where the gauge Bethe Ansatz
solution cannot be trusted at large . Instead, the string solution
perfectly reproduces the Gubser-Klebanov-Polyakov law . In particular, we provide an analytic expression for the
integer level as a function of the U(1) charge in both sectors.Comment: 42 pages, JHEP style LaTe
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