More about “short” spinning quantum strings

Abstract

We continue investigation of the spectrum of semiclassical quantum strings in AdS 5 × S 5 on the examples of folded (S, J) string (with spin S in AdS 5 and orbital momentum J in S 5) dual to an sl(2) sector state in gauge theory and its (J ′ , J ) counterpart with spin J ′ in S 5 dual to an su(2) sector state. We study the limits of small spins and large J at weak and strong coupling, pointing out that terms linear in spins provide a generalization of “protected” coefficients in the energy that are given by finite polynomials in ’t Hooft coupling λ (or square of string tension) for any value of λ. We propose an expression for the coefficient of the term linear in spin J ′ in the (J ′ , J ) string energy which should be the su(2) sector counterpart of the “slope function” in the sl(2) sector suggested by Basso in arXiv:1109.3154.