222 research outputs found
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
Infinite spin limit of semiclassical string states
Motivated by recent works of Hofman and Maldacena and Dorey we consider a
special infinite spin limit of semiclassical spinning string states in AdS5 x
S5. We discuss examples of known folded and circular 2-spin string solutions
and demonstrate explicitly that the 1-loop superstring correction to the
classical expression for the energy vanishes in the limit when one of the spins
is much larger that the other. We also give a general discussion of this limit
at the level of integral equations describing finite gap solutions of the
string sigma model and argue that the corresponding asymptotic form of the
string and gauge Bethe equations is the same.Comment: 38 pages, 3 figures; v2: comments on derivation of bound states of
magnons from discrete Bethe equations added in section 4 and appendix C,
references added, Imperial-TP-AT-6-4, HUTP-06/A002
Giant Magnons under NS-NS and Melvin Fields
The giant magnon is a rotating spiky string configuration which has the same
dispersion relation between the energy and angular momentum as that of a spin
magnon. In this paper we investigate the effects of the NS-NS and Melvin fields
on the giant magnon. We first analyze the energy and angular momenta of the
two-spin spiky D-string moving on the with the NS-NS field.
Due to the infinite boundary of the AdS spacetime the D-string solution will
extend to infinity and it appears the divergences. After adding the counter
terms we obtain the dispersion relation of the corresponding giant magnon. The
result shows that there will appear a prefactor before the angular momentum, in
addition to some corrections in the sine function. We also see that the spiky
profile of a rotating D-string plays an important role in mapping it to a spin
magnon. We next investigate the energy and angular momentum of the one-spin
spiky fundamental string moving on the with the electric or
magnetic Melvin field. The dispersion relation of the corresponding deformed
giant magnon is also obtained. We discuss some properties of the correction
terms and their relations to the spin chain with deformations.Comment: Latex 20 pages, mention D-string and add reference
Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
From the SU(2) spin chain sigma model at the one-loop and two-loop orders we
recover the classical circular string solution with two S^5 spins (J_1, J_2) in
the AdS_5 x S^5 string theory. In the SL(2) sector of the one-loop spin chain
sigma model we explicitly construct a solution which corresponds to the folded
string solution with one AdS_5 spin S and one S^5 spin J. In the one-loop
general sigma model we demonstrate that there exists a solution which
reproduces the energy of the circular constant-radii string solution with three
spins (S_1, S_2, J).Comment: 16 pages, LaTeX, no figure
Folded Three-Spin String Solutions in AdS_5 x S^5
We construct a spinning closed string solution in AdS_5 x S^5 which is folded
in the radial direction and has two equal spins in AdS_5 and a spin in S^5. The
energy expression of the three-spin solution specified by the folding and
winding numbers for the small S^5 spin shows a logarithmic behavior and a
one-third power behavior of the large total AdS_5 spin, in the long string and
in the short string located near the boundary of AdS_5 respectively. It
exhibits the non-regular expansion in the 't Hooft coupling constant, while it
takes the regular one when the S^5 spin becomes large.Comment: 14 pages, LaTeX, no figures, a reference adde
Wave functions and correlation functions for GKP strings from integrability
We develop a general method of computing the contribution of the vertex
operators to the semi-classical correlation functions of heavy string states,
based on the state-operator correspondence and the integrable structure of the
system. Our method requires only the knowledge of the local behavior of the
saddle point configuration around each vertex insertion point and can be
applied to cases where the precise forms of the vertex operators are not known.
As an important application, we compute the contributions of the vertex
operators to the three-point functions of the large spin limit of the
Gubser-Klebanov-Polyakov (GKP) strings in spacetime, left unevaluated
in our previous work [arXiv:1110.3949] which initiated such a study. Combining
with the finite part of the action already computed previously and with the
newly evaluated divergent part of the action, we obtain finite three-point
functions with the expected dependence of the target space boundary coordinates
on the dilatation charge and the spin.Comment: 80 pages, 7 figures, v2: typos and minor errors corrected, a
reference added, v3: typos and a reference corrected, published versio
Conformal SO(2,4) Transformations for the Helical AdS String Solution
By applying the conformal SO(2,4) transformations to the folded rotating
string configuration with two spins given by a certain limit from the helical
string solution in AdS_3 x S^1, we construct new string solutions whose
energy-spin relations are characterized by the boost parameter. When two
SO(2,4) transformations are performed with two boost parameters suitably
chosen, the straight folded rotating string solution with one spin in AdS_3 is
transformed in the long string limit into the long spiky string solution whose
expression is given from the helical string solution in AdS_3 by making a limit
that the modulus parameter becomes unity.Comment: 16 pages, LaTex, no figure
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