22 research outputs found
Double-logs, Gribov-Lipatov reciprocity and wrapping
We study analytical properties of the five-loop anomalous dimension of
twist-2 operators at negative even values of Lorentz spin. Following L. N.
Lipatov and A. I. Onishchenko, we have found two possible generalizations of
double-logarithmic equation, which allow to predict a lot of poles of anomalous
dimension of twist-2 operators at all orders of perturbative theory from the
known results. Second generalization is related with the reciprocity-respecting
function, which is a single-logarithmic function in this case. We have found,
that the knowledge of first orders of the reciprocity-respecting function gives
all-loop predictions for the highest poles. Obtained predictions can be used
for the reconstruction of a general form of the wrapping corrections for
twist-2 operators.Comment: 17 pages, references adde
Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
The result for the six-loop anomalous dimension of twist-three operators in
the planar N=4 SYM theory is presented. The calculations were performed along
the paper arXiv:0912.1624. This result provides a new data for testing the
proposed spectral equations for planar AdS/CFT correspondence.Comment: 19 pages, typos corrected, details adde
Quantum folded string and integrability: from finite size effects to Konishi dimension
Using the algebraic curve approach we one-loop quantize the folded string
solution for the type IIB superstring in AdS(5)xS(5). We obtain an explicit
result valid for arbitrary values of its Lorentz spin S and R-charge J in terms
of integrals of elliptic functions. Then we consider the limit S ~ J ~ 1 and
derive the leading three coefficients of strong coupling expansion of short
operators. Notably, our result evaluated for the anomalous dimension of the
Konishi state gives 2\lambda^{1/4}-4+2/\lambda^{1/4}. This reproduces correctly
the values predicted numerically in arXiv:0906.4240. Furthermore we compare our
result using some new numerical data from the Y-system for another similar
state. We also revisited some of the large S computations using our methods. In
particular, we derive finite--size corrections to the anomalous dimension of
operators with small J in this limit.Comment: 20 pages, 1 figure; v2: references added, typos corrected; v3: major
improvement of the references; v4: Discussion of short operators is
restricted to the case n=1. This restriction does not affect the main results
of the pape
Quantum folded string in S^5 and the Konishi multiplet at strong coupling
The Konishi superconformal multiplet is an important theoretical laboratory
where one can test AdS/CFT methods to compute strong coupling corrections to
the spectrum of superstrings in AdS_5 x S^5. In particular, one can exploit
integrability for finite charge states/operators. The multiplet ground state is
a singlet operator with two simple descendants in the rank-1 sectors sl(2) and
su(2) of N=4 super Yang-Mills theory. Recently, the next-to-leading quantum
correction to the sl(2) state has been computed. Here, we use the algebraic
curve approach to determine the correction to the other state recovering
universality of the correction inside the multiplet.Comment: 17 pages, 5 eps figure
Spatially-resolved rotational microrheology with an optically-trapped sphere
We have developed a microrheometer, based on optical tweezers, in which hydrodynamic coupling between the probe and fluid boundaries is dramatically reduced relative to existing microrheometers. Rotational Brownian motion of a birefringent microsphere within an angular optical trap is observed by measuring the polarisation shifts of transmitted light. Data gathered in this manner, in the strongly viscoelastic fluid Celluvisc, quantitatively agree with the results of conventional (bulk) rheometry. Our technique will significantly reduce the smallest sample volumes which may be reliably probed, further extending the study of rare, difficult to obtain or highly nonhomogeneous fluids