69 research outputs found
Single spike solutions for strings on S2 and S3
We study solutions for rigidly rotating strings on a two sphere. Among them
we find two limiting cases that have a particular interest, one is the already
known giant magnon and the other we call the single spike solution. The
limiting behavior of this last solution is a string infinitely wrapped around
the equator. It differs from that solution by the existence of a single spike
of height theta that points toward the north pole.
We study its properties and compute its energy E and angular momentum J as a
function of theta. We further generalize the solution by adding one angular
momentum to obtain a solution on S3. We find a spin chain interpretations of
these results in terms of free fermions and the Hubbard model but the exact
relation with the same models derived from the field theory is not clear.Comment: LaTeX, 20 pages, 3 figures. v2: Refs adde
D-brane Description of New Open String Solutions in AdS(5)
In this paper we find D-brane descriptions of some of new open string
solutions that were found in 0804.3438[hep-th]. These D5-brane and D3-brane
configurations give gravitational dual descriptions of Wilson loops in some
particular representations.Comment: 13 pages, references adde
Notes on Euclidean Wilson loops and Riemann Theta functions
The AdS/CFT correspondence relates Wilson loops in N=4 SYM theory to minimal
area surfaces in AdS5 space. In this paper we consider the case of Euclidean
flat Wilson loops which are related to minimal area surfaces in Euclidean AdS3
space. Using known mathematical results for such minimal area surfaces we
describe an infinite parameter family of analytic solutions for closed Wilson
loops. The solutions are given in terms of Riemann theta functions and the
validity of the equations of motion is proven based on the trisecant identity.
The world-sheet has the topology of a disk and the renormalized area is written
as a finite, one-dimensional contour integral over the world-sheet boundary. An
example is discussed in detail with plots of the corresponding surfaces.
Further, for each Wilson loops we explicitly construct a one parameter family
of deformations that preserve the area. The parameter is the so called spectral
parameter. Finally, for genus three we find a map between these Wilson loops
and closed curves inside the Riemann surface.Comment: 35 pages, 7 figures, pdflatex. V2: References added. Typos corrected.
Some points clarifie
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
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
Dual Spikes; New Spiky String Solutions
We find a new class of spiky solutions for closed strings in flat,
and backgrounds. In the flat
case the new solutions turn out to be T-dual configurations of spiky strings
found by Kruczenski hep-th/0410226. In the case of solutions living in ,
we make a semi classical analysis by taking the large angular momentum limit.
The anomalous dimension for these dual spikes is similar to that for rotating
and pulsating circular strings in AdS with angular momentum playing the role of
the level number. This replaces the well known logarithmic dependence for
spinning strings. For the dual spikes living on sphere we find that no large
angular momentum limit exists.Comment: Added reference
Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
It is known that large class of classical string solutions in the type IIB
AdS_5xS^5 background is related to the Neumann and Neumann-Rosochatius
integrable systems, including spiky strings and giant magnons. It is also
interesting if these integrable systems can be associated with some membrane
configurations in M-theory. We show here that this is indeed the case by
presenting explicitly several types of membrane embedding in AdS_4xS^7 with the
searched properties.Comment: LaTeX, 17 pages, no figures;v2: comments and citations added;v3: 20
pages, new subsection, explanations, comments and references added; v4: some
typos fixed, to appear in JHE
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
Semiclassical strings in AdS(3) X S^2
In this paper, we investigate the semiclassical strings in AdS(3)XS^2, in
which the string configuration of AdS(3) is classified to three cases depending
on the parameters. Each of these has a different anomalous dimension
proportional to logS, S^(1/3) and S, where S is a angular momentum on AdS(3).
Further we generalize the dispersion relations for various string configuration
on AdS(3)XS^2.Comment: 15 pages, added reference
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
- …