62 research outputs found
Giant Magnon and Spike Solutions with Two Spins in AdS4xCP3
In the string theory in AdS_4 \times CP^3 we construct the giant magnon and
spike solutions with two spins in two kinds of subspaces of R_t \times CP^3 and
derive the dispersion relations for them. For the single giant magnon solution
in one subspace we show that its dispersion relation is associated with that of
the big one-spin giant magnon solution in the RP^2 subspace. For the single
giant magnon solution in the other complementary subspace its dispersion
relation is similar to that of the one-spin giant magnon solution living in the
S^2 subspace but has one additional spin dependence.Comment: 13pages, LaTeX, no figure
Asymptotic AdS String Solutions for Null Polygonal Wilson Loops in R^{1,2}
For the asymptotic string solution in AdS_3 which is represented by the AdS_3
Poincare coordinates and yields the planar multi-gluon scattering amplitude at
strong coupling in arXiv:0904.0663, we express it by the AdS_4 Poincare
coordinates and demonstrate that the hexagonal and octagonal Wilson loops
surrounding the string surfaces take closed contours consisting of null vectors
in R^{1,2} owing to the relations of Stokes matrices. For the tetragonal Wilson
loop we construct a string solution characterized by two parameters by solving
the auxiliary linear problems and demanding a reality condition, and analyze
the asymptotic behavior of the solution in R^{1,2}. The freedoms of two
parameters are related with some conformal SO(2,4) transformations.Comment: 17pages, LaTeX, no figure
Spiky Strings with Two Spins in AdS5
Using the reduction of the string sigma model to the 1-d Neumann integrable
model we reconstruct the closed string solution with two equal spins in AdS_5
which is specified by the number of round arcs and one winding number. From the
string sigma model itself as well as its reducion to the Neumann-Rosochatius
system we construct a spiky string solution with two unequal spins in AdS_5
whose ratio is fixed and derive its energy-spin relation. The string
configuration is characterized by the number of spikes and two equal winding
numbers associated with the two rotating angular directions
Membrane, Four-Brane and Dual Coordinates in the M(atrix) Theory Compactified on Tori
In the M(atrix) theory by making the expansions of the matrices around the
membrane and four-brane solutions we derive the three- and five-dimensional
gauge theories on the dual tori. The explicit forms of solutions yield the dual
coordinates and each expansion is related to a toroidal compactification of the
M(atrix) theory. From the derived Lorentz and gauge invariant actions the gauge
coupling constants are shown to be characterized by the volume of the dual
tori.Comment: 9 pages, latex, no figure
Conformal Transformations and Strings for an Accelerating Quark-Antiquark Pair in AdS3
From a simple moving open string solution dual to a moving heavy quark with
constant velocity in the Poincare AdS_3 spacetime, we construct an
accerlerating open string solution dual to a heavy quark-antiquark pair
accelerated in opposite directions by performing the three mappings such as the
SL(2,R)_L x SL(2,R)_R isometry transformation, the special conformal
transformation and the conformal SO(2,2) transformation. Using the string sigma
model action we construct two open string solutions staying in two different
regions whose dividing line is associated with the event horizon appeared on
the string worldsheet and obtain the accelerating open string solution by
gluing two such solutions.Comment: 16 pages, LaTeX, no figure
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