71 research outputs found
Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
We study a class of classical solutions for closed strings moving in AdS_3 x
S^1 part of AdS_5 x S^5 with energy E and spin S in AdS_3 and angular momentum
J and winding m in S^1. They have rigid shape with n spikes in AdS_3. We find
that when J or m are non-zero, the spikes do not end in cusps. We consider in
detail a special large n limit in which S ~ n^2, J ~ n, i.e. S >> J >> 1, with
(E+S)/ n^2, (E-S)/ n, J/n, m/n staying finite. In that limit the spiky spinning
string approaches the boundary of AdS_5. We show that the corresponding
solution can be interpreted as describing a periodic-spike string moving in
AdS_3 --pp-wave x S^1 background. The resulting expression for the string
energy should represent a strong-coupling prediction for anomalous dimension of
a class of dual gauge theory states in a particular thermodynamic limit of the
SL(2) spin chain.Comment: 34 pages, 4 figures; v2: references added; v3: typos correcte
Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
We revisit the computation of the 2-loop correction to the energy of a folded
spinning string in AdS_5 with an angular momentum J in S^5 in the scaling limit
log S, J >>1 with J / log S fixed. This correction gives the third term in the
strong-coupling expansion of the generalized scaling function. The computation,
using the AdS light-cone gauge approach developed in our previous paper, is
done by expanding the AdS_5 x S^5 superstring partition function near the
generalized null cusp world surface associated to the spinning string solution.
The result corrects and extends the previous conformal gauge result of
arXiv:0712.2479 and is found to be in complete agreement with the corresponding
terms in the generalized scaling function as obtained from the asymptotic Bethe
ansatz in arXiv:0805.4615 (and also partially from the quantum O(6) model and
the Bethe ansatz data in arXiv:0809.4952). This provides a highly nontrivial
strong coupling comparison of the Bethe ansatz proposal with the quantum AdS_5
x S^5 superstring theory, which goes beyond the leading semiclassical term
effectively controlled by the underlying algebraic curve. The 2-loop
computation we perform involves all the structures in the AdS light-cone gauge
superstring action of hep-th/0009171 and thus tests its ultraviolet finiteness
and, through the agreement with the Bethe ansatz, its quantum integrability. We
do most of the computations for a generalized spinning string solution or the
corresponding null cusp surface that involves both the orbital momentum and the
winding in a large circle of S^5.Comment: 50 pages, late
Generating AdS String Solutions
We use a Pohlmeyer type reduction to generate classical string solutions in
AdS spacetime. In this framework we describe a correspondence between spikes in
AdS_3 and soliton profiles of the sinh-Gordon equation. The null cusp string
solution and its closed spinning string counterpart are related to the
sinh-Gordon vacuum. We construct classical string solutions corresponding to
sinh-Gordon solitons, antisolitons and breathers by the inverse scattering
technique. The breather solutions can also be reproduced by the sigma model
dressing method.Comment: 21 pages, 3 figures, references adde
Three Spin Spiky Strings in beta-deformed Background
We study rigidly rotating strings in -deformed
background with one spin along AdS and two angular momenta along . We
find the spiky string solutions and present the dispersion relation among
various charges in this background. We further generalize the result to the
case of four angular momenta along .Comment: 12 pages, minor corrections, added references, to appear in JHE
Spiky Strings on I-brane
We study rigidly rotating strings in the near horizon geometry of the 1+1
dimensional intersection of two orthogonal stacks of NS5-branes, the so called
I-brane background. We solve the equations of motion of the fundamental string
action in the presence of two form NS-NS fluxes that the I-brane background
supports and write down general form of conserved quantities. We further find
out two limiting cases corresponding to giant magnon and single spike like
strings in various parameter space of solutions.Comment: 17 pages, major restructuring of text, added a referenc
On the Rotating and Oscillating strings in
We study rigidly rotating strings in the -deformed background. We find out two classes of solutions corresponding to the
giant magnon and single spike solutions of the string rotating in two
subspace of rotations reduced along two different isometries.
We verify that the dispersion relations reduce to the well known relation in
the limit. We further study some oscillating string
solutions in the subspace.Comment: 20 pages, clarifications added, version to appear in JHE
Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
We evaluate the exact one-loop partition function for fundamental strings
whose world-surface ends on a cusp at the boundary of AdS_4 and has a "jump" in
CP^3. This allows us to extract the stringy prediction for the ABJM generalized
cusp anomalous dimension Gamma_{cusp}^{ABJM} (phi,theta) up to NLO in
sigma-model perturbation theory. With a similar analysis, we present the exact
partition functions for folded closed string solutions moving in the AdS_3
parts of AdS_4 x CP^3 and AdS_3 x S^3 x S^3 x S^1 backgrounds. Results are
obtained applying to the string solutions relevant for the AdS_4/CFT_3 and
AdS_3/CFT_2 correspondence the tools previously developed for their AdS_5 x S^5
counterparts.Comment: 48 pages, 2 figures, version 3, corrected misprints in formulas 2.12,
B.86, C.33, added comment on verification of the light-like limi
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