222,609 research outputs found
Giant magnon bound states from strongly coupled N=4 SYM
We calculate in a very simple way the spectrum of giant magnon bound states
at strong coupling in N=4 SYM, by utilizing the description of the field theory
vacuum in terms of a condensate of eigenvalues of commuting matrices. We
further show that these calculations can be understood in terms of the central
charge extension that permits the calculation of BPS masses in the Coulomb
branch of N=4 SYM. This paper shows further evidence that the strong coupling
expansion of the maximally supersymmetric Yang-Mills theory in four dimensions
can be done systematically from first principles, without the assumption of
integrability.Comment: 19 pages, uses revte
Holography in the Large J Limit of AdS/CFT Correspondence and Its Applications
We give a brief expository discussion on the holographic correspondence of
correlation functions in the large J limit of AdS/CFT conjecture. We first
review our proposals on the interpretation of the so-called GKPW relation in
the large J limit or BMN limit, which are based upon a tunneling picture in
relating the AdS bulk to its boundary. Some concrete results, explicitly
confirming our picture, are summarized. We then proceed to comment on various
issues related to this subject, such as extension of the present picture to
nonconformal Dp-brane backgrounds, the correlators of deformed Wilson loops,
spinning-string/spin-chain correspondence, and the inclusion of higher
string-loop effects. In particular, as for the deformation of Wilson loops, we
present a typical tunneling world-sheet solution which can be used for direct
derivation of the expectation values of deformed Wilson loops following our
picture.Comment: 21 pages, written version of a talk given at the symposium "Frontiers
of Quantum Science", YITP, Kyoto, Feb. 2005, corrected typos and some minor
revisions of tex
Strings on conifolds from strong coupling dynamics, part I
A method to solve various aspects of the strong coupling expansion of the
superconformal field theory duals of AdS_5 x X geometries from first principles
is proposed. The main idea is that at strong coupling the configurations that
dominate the low energy dynamics of the field theory compactified on a three
sphere are given by certain non-trivial semi-classical configurations in the
moduli space of vacua.
We show that this approach is self-consistent and permits one to express most
of the dynamics in terms of an effective N=4 SYM dynamics. This has the
advantage that some degrees of freedom that move the configurations away from
moduli space can be treated perturbatively, unifying the essential low energy
dynamics of all of these theories. We show that with this formalism one can
compute the energies of strings in the BMN limit in the Klebanov-Witten theory
from field theory considerations, matching the functional form of results found
using AdS geometry. This paper also presents various other technical results
for the semiclassical treatment of superconformal field theories.Comment: 52 pages, JHEP3 styl
Supergravity, AdS/CFT Correspondence and Matrix Models
The recent developments towards the possible non-perturbative formulation of
string/M theory using supersymmetric Yang-Mills matrix models (SYMs) are
discussed. In the first part, we give a critical review on the status of our
present understanding, focusing on the connection of the D0-brane matrix models
to supergravity and its relevance to the so-called Matrix-theory conjecture. We
also discuss some problems concerning the conjectured relation between
supergravity in AdS background and SYM from the viewpoint of D-brane
interactions. We present a qualitative argument showing how the boundary
condition at AdS boundary dictates the correlators on the large N system of
source D-branes. Then, in the final part, we turn to the question how to
formulate the condensation of graviton in matrix models, taking the simplest
example of type IIB matrix model. We argue the emergence of a hidden symmetry
GL(10, R), beyond the manifest Lorentz symmetry SO(9,1), by embedding U(N)
model into models with higher N and by treating the whole recursive series of
models simultaneously. This suggests a possible approach toward background
independent formulations of matrix models.Comment: Expanded and combined version of two talks given at
Nishinomiya-Yukawa Symposium, Nov., 1998 and YITP workshop, Nov., 1998, 23
pages, no figures (revision: sentences and references are added to clarify
the relation between the space-time uncertainty relation and holography
The correspondence principle in quantum field theory and quantum gravity
We discuss the fate of the correspondence principle beyond quantum mechanics, specifically in quantum field theory and quantum gravity, in connection with the intrinsic limitations of the human ability to observe the external world. We conclude that the best correspondence principle is made of unitarity, locality, proper renormalizability (a refinement of strict renormalizability), combined with fundamental local symmetries and the requirement of having a finite number of fields. Quantum gravity is identified in an essentially unique way. The gauge interactions are uniquely identified in form. Instead, the matter sector remains basically unrestricted. The major prediction is the violation of causality at small distances
On Higher Order Gravities, Their Analogy to GR, and Dimensional Dependent Version of Duff's Trace Anomaly Relation
An almost brief, though lengthy, review introduction about the long history
of higher order gravities and their applications, as employed in the
literature, is provided. We review the analogous procedure between higher order
gravities and GR, as described in our previous works, in order to highlight its
important achievements. Amongst which are presentation of an easy
classification of higher order Lagrangians and its employment as a
\emph{criteria} in order to distinguish correct metric theories of gravity. For
example, it does not permit the inclusion of only one of the second order
Lagrangians in \emph{isolation}. But, it does allow the inclusion of the
cosmological term. We also discuss on the compatibility of our procedure and
the Mach idea. We derive a dimensional dependent version of Duff's trace
anomaly relation, which in \emph{four}-dimension is the same as the usual Duff
relation. The Lanczos Lagrangian satisfies this new constraint in \emph{any}
dimension. The square of the Weyl tensor identically satisfies it independent
of dimension, however, this Lagrangian satisfies the previous relation only in
three and four dimensions.Comment: 30 pages, added reference
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