63 research outputs found
On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group
We study the spectral problem of N=4 SYM with gauge group SO(N) and Sp(N). At
the planar level, the difference to the case of gauge group SU(N) is only due
to certain states being projected out, however at the non-planar level novel
effects appear: While 1/N-corrections in the SU(N) case are always associated
with splitting and joining of spin chains, this is not so for SO(N) and Sp(N).
Here the leading 1/N-corrections, which are due to non-orientable Feynman
diagrams in the field theory, originate from a term in the dilatation operator
which acts inside a single spin chain. This makes it possible to test for
integrability of the leading 1/N-corrections by standard (Bethe ansatz) means
and we carry out various such tests. For orthogonal and symplectic gauge group
the dual string theory lives on the orientifold AdS5xRP5. We discuss various
issues related to semi-classical strings on this background.Comment: 25 pages, 3 figures. v2: Minor clarifications, section 5 expande
Splitting of Folded Strings in AdS_4*CP^3
We study classically splitting of two kinds of folded string solutions in
AdS_4*CP^3. Conserved charges of the produced fragments are computed for each
case. We find interesting patterns among these conserved charges.Comment: minor changes, 14 pages, no figure
Three-point correlation functions from semiclassical circular strings
The strong-coupling limit of three-point correlation functions of local
operators can be analyzed beyond the supergravity regime using vertex operators
representing spinning string states. When two of the vertex operators
correspond to heavy string states having large quantum numbers, while the third
operator corresponds to a light state with fixed charges, the correlator can be
computed in the large string tension limit by means of a semiclassical
approximation. We study the case when the heavy string states are circular
string solutions with one AdS_5 spin and three different angular momenta along
S^5, for several choices of the light string state.Comment: 13 pages. Latex. v2: Misprints corrected and references adde
Immunolymphoscintigraphy for Metastatic Sentinel Nodes: Test of a Model
Aim. To develop a method and obtain proof-of-principle for immunolymphoscintigraphy for identification of metastatic sentinel nodes. Methods. We selected one of four tumour-specific antibodies against human breast cancer and investigated (1), in immune-deficient (nude) mice with xenograft human breast cancer expressing the antigen if specific binding of the intratumorally injected, radioactively labelled, monoclonal antibody could be scintigraphically visualized, and (2) transportation to and retention in regional lymph nodes of the radioactively labelled antibody after subcutaneous injection in healthy rabbits. Results and Conclusion. Our paper suggests the theoretical possibility of a model of dual isotope immuno-lymphoscintigraphy for noninvasive, preoperative, malignant sentinel node imaging
Matching three-point functions of BMN operators at weak and strong coupling
The agreement between string theory and field theory is demonstrated in the
leading order by providing the first calculation of the correlator of three
two-impurity BMN states with all non-zero momenta. The calculation is performed
in two completely independent ways: in field theory by using the large-
perturbative expansion, up to the terms subleading in finite-size, and in
string theory by using the Dobashi-Yoneya 3-string vertex in the leading order
of the Penrose expansion. The two results come out to be completely identical.Comment: 14 pages, 1 figur
Chiral primary one-point functions in the D3-D7 defect conformal field theory
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0archiveprefix: arXiv primaryclass: hep-th reportnumber: NORDITA-2012-81 slaccitation: %%CITATION = ARXIV:1210.7015;%%archiveprefix: arXiv primaryclass: hep-th reportnumber: NORDITA-2012-81 slaccitation: %%CITATION = ARXIV:1210.7015;%%C.F.K. and D.Y. were supported in part by FNU through grant number 272-08-0329.
G.W.S. is supported by NSERC of Canada and by the Villum foundation through their
Velux Visiting Professor program
Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
Motivated by the desire to relate Bethe ansatz equations for anomalous
dimensions found on the gauge theory side of the AdS/CFT correspondence to
superstring theory on AdS_5 x S5 we explore a connection between the asymptotic
S-matrix that enters the Bethe ansatz and an effective two-dimensional quantum
field theory. The latter generalizes the standard ``non-relativistic''
Landau-Lifshitz (LL) model describing low-energy modes of ferromagnetic
Heisenberg spin chain and should be related to a limit of superstring effective
action. We find the exact form of the quartic interaction terms in the
generalized LL type action whose quantum
S-matrix matches the low-energy limit of the asymptotic S-matrix of the spin
chain of Beisert, Dippel and Staudacher (BDS). This generalises to all orders
in the `t Hooft coupling an earlier computation of Klose and Zarembo of the
S-matrix of the standard LL model. We also consider a generalization to the
case when the spin chain S-matrix contains an extra ``string'' phase and
determine the exact form of the LL 4-vertex corresponding to the low-energy
limit of the ansatz of Arutyunov, Frolov and Staudacher (AFS). We explain the
relation between the resulting ``non-relativistic'' non-local action and the
second-derivative string sigma model. We comment on modifications introduced by
strong-coupling corrections to the AFS phase. We mostly discuss the SU(2)
sector but also present generalizations to the SL(2) and SU(1|1) sectors,
confirming universality of the dressing phase contribution by matching the
low-energy limit of the AFS-type spin chain S-matrix with tree-level
string-theory S-matrix.Comment: 52 pages, 4 figures, Imperial-TP-AT-6-2; v2: new sections 7.3 and 7.4
computing string tree-level S-matrix in SL(2) and SU(1|1) sectors, references
adde
Summing Up All Genus Free Energy of ABJM Matrix Model
The localization technique allows us to compute the free energy of the U(N)_k
x U(N)_{-k} Chern-Simons-matter theory dual to type IIA strings on AdS_4 x CP^3
from weak to strong 't Hooft coupling \lambda = N / k at finite N, as
demonstrated by Drukker, Marino, and Putrov. In this note we study further the
free energy at large 't Hooft coupling with the aim of testing AdS/CFT at the
quantum gravity level and, in particular, sum up all the 1/N corrections, apart
from the worldsheet instanton contributions. The all genus partition function
takes a remarkably simple form -- the Airy function, Ai (k^{4/3} \lambda_r),
with the renormalized 't Hooft coupling \lambda_r.Comment: 18 pages, no figures, v2: typos corrected and references adde
Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
We review the duality and integrability of N=6 superconformal Chern-Simons
theory in three dimensions and IIA superstring theory on the background
AdS4xCP3. We introduce both of these models and describe how their degrees of
freedom are mapped to excitations of a long-range integrable spin-chain.
Finally, we discuss the properties of the Bethe equations, the S-matrix and the
algebraic curve that are special to this correspondence and differ from the
case of N=4 SYM theory and strings on AdS5xS5.Comment: 22 pages, see also overview article arXiv:1012.3982, v2: references
to other chapters updated, v3: references added, v4: brief discussion of
giant magnons added, further minor changes, published version, v5: union of
v3 and v4 because changes made in v3 were accidentally lost in v
An alternative formulation of light-cone string field theory on the plane wave
We construct a manifestly SO(4) x SO(4) invariant, supersymmetric extension
of the closed string cubic interaction vertex and dynamical supercharges in
light-cone string field theory on the plane wave space-time. We find that the
effective vertex for states built out of bosonic creation oscillators coincides
with the one previously constructed in the SO(8) formalism and conjecture that
in general the two formulations are physically equivalent. Further evidence for
this claim is obtained from the discrete Z_2-symmetry of the plane wave and by
computing the mass-shift of the simplest stringy state using perturbation
theory. We verify that the leading non-planar correction to the anomalous
dimension of the dual gauge theory operators is correctly recovered.Comment: 28 pages; v2: minor change
- …