Semiclassical folded string in AdS 5 × S 5

Abstract

In this paper we generalize the results of arXiv:0806.4758 to non-zero value J of angular momentum in S 5 . We compute the 1-loop correction to the energy of the folded spinning string in AdS 5 × S 5 in the particular limit of slow short string approximation. In this limit the string is moving in a near-flat central region of AdS 5 slowly rotating in both AdS 5 and S 5 . The one-loop correction should represent the first subleading correction to strong coupling expansion of the anomalous dimension of short gauge theory operators of the form Tr D S Φ J in the SL(2) sector.

Classical integrability and quantum aspects of the AdS 3 × S 3 × S 3 × S 1 superstring

“…On the other hand, from the string worldsheet point-of-view there is no distinction between the light and heavy modes and it's natural to use the same cutoff for both. The former we will call algebraic curve (AC) and the latter worldsheet (WS) regularization, see [51,52,[54][55][56][57][58][59][60][61] for extensive references. Since it's not completely clear even in AdS 4 /CF T 3 which regulator is physical we will present our final answers in both the AC and WS scheme, see however [62] for some recent results.…”

Exploring the spectrum of planar AdS4/CFT3 at finite coupling

“…Since the main motivation for the study of this model resides in the weak/strong coupling AdS/CF T duality, it is particularly important to explore the large h behaviour of the spectrum. Strong coupling predictions for operators in the sl(2) sector are based on analytic continuation from the classical folded spinning string solution [40,58], and is expected to be applicable only to operators with even S. Therefore, we found no independent strong coupling predictions for the operator 20. However, the high precision results in table 6 allow us to extract a numerical prediction for the first few strong coupling coefficients of ∆ L=1,S=1 .…”

“…guess we assumed a certain similarity with the known result for S even [40,58], see also section 4.2. We stress that already the leading order coefficient in (4.9) deviates from the ones naively obtained interpolating the even-S results, confirming that this operator belongs to a different trajectory.…”

“…From figure 7 it clearly appears that Y 1,0 (u) tends to the constant value −1 in the whole complex plane, asymptotically as h tends to infinity. Since an analytic strong coupling expansion is available for all the sl(2) states with even S [40,58], it is interesting to analyse also the operator with length L = 1 and spin S = 2. In this case the BAEs (4.1)-(4.2) reduce to u 4,2 = −u 4,1 and…”

“…The numerical results obtained for the conformal dimension are reported in In figure 8, we also plotted the strong coupling predictions obtained from the ansatz (4.8) in [40,58]:…”