178 research outputs found
The Spectrum of Strings on Warped AdS_3 x S^3
String theory on NS-NS AdS_3 x S^3 admits an exactly marginal deformation
which breaks the SL(2,R)_R x SL(2,R)_L isometry of AdS_3 down to SL(2,R)_R x
U(1)_L. The holographic dual is an exotic and only partially understood type of
two-dimensional CFT with a reduced unbroken global conformal symmetry group. In
this paper we study the deformed theory on the string worldsheet. It is found
to be related by a spectral flow which is nonlocal in spacetime to the
undeformed worldsheet theory. An exact formula for the spectrum of massive
strings is presented.Comment: 26 pages, no figure
Giant Magnons
Studies of super Yang Mills operators with large R-charge have
shown that, in the planar limit, the problem of computing their dimensions can
be viewed as a certain spin chain. These spin chains have fundamental
``magnon'' excitations which obey a dispersion relation that is periodic in the
momentum of the magnons. This result for the dispersion relation was also shown
to hold at arbitrary 't Hooft coupling. Here we identify these magnons on the
string theory side and we show how to reconcile a periodic dispersion relation
with the continuum worldsheet description. The crucial idea is that the
momentum is interpreted in the string theory side as a certain geometrical
angle. We use these results to compute the energy of a spinning string. We also
show that the symmetries that determine the dispersion relation and that
constrain the S-matrix are the same in the gauge theory and the string theory.
We compute the overall S-matrix at large 't Hooft coupling using the string
description and we find that it agrees with an earlier conjecture. We also find
an infinite number of two magnon bound states at strong coupling, while at weak
coupling this number is finite.Comment: 34 pages, 9 figures, latex v2: references adde
Canonical Quantization of Open String and Noncommutative Geometry
We perform canonical quantization of open strings in the -brane background
with a -field. Treating the mixed boundary condition as a primary
constraint, we get a set of secondary constraints. Then these constraints are
shown to be equivalent to orbifold conditions to be imposed on normal string
modes. These orbifold conditions are a generalization of the familiar orbifold
conditions which arise when we describe open strings in terms of closed
strings. Solving the constraints explicitly, we obtain a simple Hamiltonian for
the open string, which reveals the nature of noncommutativity transparently.Comment: 14 pages, RevTex, added reference
Parton picture for the strongly coupled SYM plasma
Deep inelastic scattering off the strongly coupled N=4 supersymmetric
Yang-Mills plasma at finite temperature can be computed within the AdS/CFT
correspondence, with results which are suggestive of a parton picture for the
plasma. Via successive branchings, essentially all partons cascade down to very
small values of the longitudinal momentum fraction x and to transverse momenta
smaller than the saturation momentum Q_s\sim T/x. This scale Q_s controls the
plasma interactions with a hard probe, in particular, the jet energy loss and
its transverse momentum broadening.Comment: 4 pages, Talk given at Quark Matter 2008: 20th International
Conference on Ultra-Relativistic Nucleus Nucleus Collisions (QM 2008),
Jaipur, India, 4-10 Feb 200
Spectral Flow in AdS(3)/CFT(2)
We study the spectral flowed sectors of the H3 WZW model in the context of
the holographic duality between type IIB string theory in AdS(3)x S^3 x T^4
with NSNS flux and the symmetric product orbifold of T^4. We construct
explicitly the physical vertex operators in the flowed sectors that belong to
short representations of the superalgebra, thus completing the bulk-to-boundary
dictionary for 1/2 BPS states. We perform a partial calculation of the string
three-point functions of these operators. A complete calculation would require
the three-point couplings of non-extremal flowed operators in the H3 WZW model,
which are at present unavailable. In the unflowed sector, perfect agreement has
recently been found between the bulk and boundary three-point functions of 1/2
BPS operators. Assuming that this agreement persists in the flowed sectors, we
determine certain unknown three-point couplings in the H3 WZW model in terms of
three-point couplings of affine descendants in the SU(2) WZW model.Comment: 50 pages, 2 figure
One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
We discuss semiclassical expansions around a class of classical string
configurations lying in AdS_3 x S^1 using the Pohlmeyer-reduced from of the
AdS_5 x S^5 superstring theory. The Pohlmeyer reduction of the AdS_5 x S^5
superstring theory is a gauged Wess-Zumino-Witten model with an integrable
potential and two-dimensional fermionic fields. It was recently conjectured
that the quantum string partition function is equal to the quantum reduced
theory partition function. Continuing the previous paper (arXiv:0906.3800)
where arbitrary solutions in AdS_2 x S^2 and homogeneous solutions were
considered, we provide explicit demonstration of this conjecture at the
one-loop level for several string solutions in AdS_3 x S^1 embedded into AdS_5
x S^5. Quadratic fluctuations derived in the reduced theory for inhomogeneous
strings are equivalent to respective fluctuations found from the Nambu action
in the original string theory. We also show the equivalence of fluctuation
frequencies for homogeneous strings with both the orbital momentum and the
winding on a big circle of S^5.Comment: 45 pages, references added, minor correction
On Central Charges and Hamiltonians for 0-brane dynamics
We consider general properties of central charges of zero branes and
associated duality invariants, in view of their double role, on the bulk and on
the world volume (quantum-mechanical) theory. A detailed study of the BPS
condition for the mass spectrum arising from toroidal compactifications is
given for 1/2, 1/4 and 1/8 BPS states in any dimensions. As a byproduct, we
retreive the U-duality invariant conditions on the charge (zero mode) spectrum
and the orbit classification of BPS states preserving different fractions of
supersymmetry. The BPS condition for 0-branes in theories with 16
supersymmetries in any dimension is also discussed.Comment: 23 pages, latex fil
Integrable achiral D5-brane reflections and asymptotic Bethe equations
We study the reflection of magnons from a D5-brane in the framework of the
AdS/CFT correspondence. We consider two possible orientations of the D5-brane
with respect to the reference vacuum state, namely vacuum states aligned along
"vertical" and "horizontal" directions. We show that the reflections are of the
achiral type. We also show that the reflection matrices satisfy the boundary
Yang-Baxter equations for both orientations. In the horizontal case the
reflection matrix can be interpreted in terms of a bulk S-matrix, S(p, -p), and
factorizability of boundary scattering therefore follows from that of bulk
scattering. Finally, we solve the nested coordinate Bethe ansatz for the system
in the vertical case to find the Bethe equations. In the horizontal case, the
Bethe equations are of the same form as those for the closed string.Comment: 27 pages, 4 figures, v2: published versio
Comments on the Boundary Scattering Phase
We present a simple solution to the crossing equation for an open string
worldsheet reflection matrix, with boundaries preserving a SU(1|2)^2 residual
symmetry, which constrains the boundary dressing factor. In addition, we also
propose an analogous crossing equation for the dressing factor where extra
boundary degrees of freedom preserve a SU(2|2)^2 residual symmetry.Comment: 14 pages, 2 figures; v2: affiliation correcte
BPS Condensates, Matrix Models and Emergent String Theory
A prescription is given for computing anomalous dimensions of single trace
operators in SYM at strong coupling and large using a reduced model of
matrix quantum mechanics. The method involves treating some parts of the
operators as "BPS condensates" which, in certain limit, have a dual description
as null geodesics on the . In the gauge theory, the condensate is similar
to a representative of the chiral ring and it is described by a background of
commuting matrices. Excitations around these condensates correspond to
excitations around this background and take the form of "string bits" which are
dual to the "giant magnons" of Hofman and Maldacena. In fact, the matrix model
approach gives a {\it quantum} description of these string configurations and
explains why the infinite momentum limit suppresses the quantum effects. This
method allows, not only to derive part of the classical sigma model Hamiltonian
of the dual string (in the infinite momentum limit), but also its quantum
canonical structure. Therefore, it provides an alternative method of testing
the AdS/CFT correspondence without the need of integrability.Comment: 36 pages, 1 figure, 2 appendices, v2: references adde
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