177 research outputs found
Holography of Wilson-Loop Expectation Values with Local Operator Insertions
We study the expectation values of Wilson-loop operators with the
insertionsof local operators Z^J and Zbar^J with large R-charge J from the bulk
viewpoint of AdS/CFT correspondence. Classical solutions of strings attached to
such deformed Wilson loops at the conformal boundary are constructed and are
applied to the computation of Wilson-loop expectation values. We argue that in
order to have such solutions for general insertions at finite positions in the
base spacetime of the gauge theory, it is crucial to interpret the holographic
correspondence in the semi-classical picture as a tunneling phenomenon, as has
been previously established for holographic computations of correlators of BMN
operators. This also requires to use the Euclideanized AdS background and
Euclidean super Yang-Mills theory.Comment: 16 pages, 5 figures, version to be published in JHEP, no change from
the previous version, only extraneous figure file is remove
Dimensional Reduction via Noncommutative Spacetime: Bootstrap and Holography
Unlike noncommutative space, when space and time are noncommutative, it seems
necessary to modify the usual scheme of quantum mechanics. We propose in this
paper a simple generalization of the time evolution equation in quantum
mechanics to incorporate the feature of a noncommutative spacetime. This
equation is much more constraining than the usual Schr\"odinger equation in
that the spatial dimension noncommuting with time is effectively reduced to a
point in low energy. We thus call the new evolution equation the spacetime
bootstrap equation, the dimensional reduction called for by this evolution
seems close to what is required by the holographic principle. We will discuss
several examples to demonstrate this point.Comment: 15 pages, harvmac. v2: typos corrected and some changes mad
Space-Time Uncertainty and Noncommutativity in String Theory
We analyze the nature of space-time nonlocality in string theory. After
giving a brief overview on the conjecture of the space-time uncertainty
principle, a (semi-classical) reformulation of string quantum mechanics, in
which the dynamics is represented by the noncommutativity between temporal and
spatial coordinates, is outlined. The formalism is then compared to the
space-time noncommutative field theories associated with nonzero electric
B-fields.Comment: 10 pages with one figure. Written version of talks presented at the
Strings 2000 (Michigan, July, 2000) and the Summer Workshop on Branes (KIAS,
Seoul, June, 2000
Generalized Conformal Symmetry in D-Brane Matrix Models
We study in detail the extension of the generalized conformal symmetry
proposed previously for D-particles to the case of supersymmetric Yang-Mills
matrix models of Dp-branes for arbitrary p. It is demonstrated that such a
symmetry indeed exists both in the Yang-Mills theory and in the corresponding
supergravity backgrounds produced by Dp-branes. On the Yang-Mills side, we
derive the field-dependent special conformal transformations for the collective
coordinates of Dp-branes in the one-loop approximation, and show that they
coincide with the transformations on the supergravity side. These
transformations are powerful in restricting the forms of the effective actions
of probe D-branes in the fixed backgrounds of source D-branes. Furthermore, our
formalism enables us to extend the concept of (generalized) conformal symmetry
to arbitrary configurations of D-branes, which can still be used to restrict
the dynamics of D-branes. For such general configurations, however, it cannot
be endowed a simple classical space-time interpretation at least in the static
gauge adopted in the present formulation of D-branes.Comment: 26 pages, no figure
Nonlocal Charges for Bonus Yangian Symmetries of Super-Yang-Mills
The existence of a "bonus" U(1) level-one Yangian symmetry of N=4
super-Yang-Mills has recently been proposed. We provide evidence for this
proposal by constructing the BRST-invariant nonlocal charge in the pure spinor
sigma model corresponding to this bonus level-one symmetry. We also construct
analogous charges for bonus U(1) symmetries at all odd levels of the Yangian.Comment: LaTeX 16p
On the Bekenstein-Hawking Entropy, Non-Commutative Branes and Logarithmic Corrections
We extend earlier work on the origin of the Bekenstein-Hawking entropy to
higher-dimensional spacetimes. The mechanism of counting states is shown to
work for all spacetimes associated with a Euclidean doublet
of electric-magnetic dual brane pairs of type II
string-theory or M-theory wrapping the spacetime's event horizon plus the
complete internal compactification space. Non-Commutativity on the brane
worldvolume enters the derivation of the Bekenstein-Hawking entropy in a
natural way. Moreover, a logarithmic entropy correction with prefactor 1/2 is
derived.Comment: 17 pages, 2 figures; refs. adde
Proposal of a topological M(atrix) theory
Keeping in mind the several models of M(atrix) theory we attempt to
understand the possible structure of the topological M(atrix) theory
``underlying'' these approaches. In particular we are motivated by the issue
about the nature of the structure of the vacuum of the topological M(atrix)
theory and how this could be related to the vacuum of the electroweak theory.
In doing so we are led to a simple topological matrix model. Moreover it is
intuitively expected from the current understanding that the noncommutative
nature of ``spacetime'' and background independence should lead to a
topological Model. The main purpose of this note is to propose a simple
topological Matrix Model which bears relation to F and M theories. Suggestions
on the origin of the chemical potential term appearing in the matrix models are
given.Comment: 14 pages revte
Impure Aspects of Supersymmetric Wilson Loops
We study a general class of supersymmetric Wilson loops operator in N = 4
super Yang-Mills theory, obtained as orbits of conformal transformations. These
loops are the natural generalization of the familiar circular Wilson-Maldacena
operator and their supersymmetric properties are encoded into a Killing spinor
that is not pure. We present a systematic analysis of their scalar couplings
and of the preserved supercharges, modulo the action of the global symmetry
group, both in the compact and in the non-compact case. The quantum behavior of
their expectation value is also addressed, in the simplest case of the
Lissajous contours: explicit computations at weak-coupling, through Feynman
diagrams expansion, and at strong-coupling, by means of AdS/CFT correspondence,
suggest the possibility of an exact evaluation.Comment: 40 pages, 4 figure
Field theory on evolving fuzzy two-sphere
I construct field theory on an evolving fuzzy two-sphere, which is based on
the idea of evolving non-commutative worlds of the previous paper. The
equations of motion are similar to the one that can be obtained by dropping the
time-derivative term of the equation derived some time ago by Banks, Peskin and
Susskind for pure-into-mixed-state evolutions. The equations do not contain an
explicit time, and therefore follow the spirit of the Wheeler-de Witt equation.
The basic properties of field theory such as action, gauge invariance and
charge and momentum conservation are studied. The continuum limit of the scalar
field theory shows that the background geometry of the corresponding continuum
theory is given by ds^2 = -dt^2+ t d Omega^2, which saturates locally the
cosmic holographic principle.Comment: Typos corrected, minor changes, 23 pages, no figures, LaTe
Quark Confinement and Dual Representation in 2+1 Dimensional Pure Yang-Mills Theory
We study the quark confinement problem in 2+1 dimensional pure Yang-Mills
theory using euclidean instanton methods. The instantons are regularized and
dressed Wu-Yang monopoles. The dressing of a monopole is due to the mean field
of the rest of the monopoles. We argue that such configurations are stable to
small perturbations unlike the case of singular, undressed monopoles. Using
exact non-perturbative results for the 3-dim. Coulomb gas, where Debye
screening holds for arbitrarily low temperatures, we show in a self-consistent
way that a mass gap is dynamically generated in the gauge theory. The mass gap
also determines the size of the monopoles. In a sense the pure Yang-Mills
theory generates a dynamical Higgs effect. We also identify the disorder
operator of the model in terms of the Sine-Gordon field of the Coulomb gas.Comment: 26 pages, RevTex, Title changed, a new section added, the discussion
on stability of dressed monopole expanded. Version to appear in Physical
Review
- …