206 research outputs found
Modeling M-Theory Vacua via Gauged S-Duality
We construct a model of M-theory vacua using gauged S-duality and the
Chan-Paton symmetries by introducing an infinite number of open string charges.
In the Bechi-Rouet-Stora-Tyutin formalism, the local description of the gauged
S-duality on its moduli space of vacua is fully determined by one physical
state condition on the vacua. We introduce the string probe of the spatial
degrees of freedom and define the increment of the cosmic time. The
dimensionality of space-time and the gauge group of the low energy effective
theory originate in the symmetries (with or without their breakdown) in our
model. This modeling leads to the derived category formulation of the quantum
mechanical world including gravity and to the concept of a non-linear potential
of gauged and affinized S-duality which specifies the morphism structure of
this derived category.Comment: 31 pages, version reflecting the erratum. arXiv admin note:
substantial text overlap with arXiv:1102.460
Stochastic Hamiltonian for Non-Critical String Field Theories from Double-Scaled Matrix Models
We present detailed discussions on the stochastic Hamiltonians for
non-critical string field theories on the basis of matrix models. Beginning
from the simplest case, we derive the explicit forms of the Hamiltonians
for the higher critical case (which corresponds to ) and for the
case , directly from the double-scaled matrix models. In particular, for
the two-matrix case, we do not put any restrictions on the spin configurations
of the string fields. The properties of the resulting infinite algebras of
Schwinger-Dyson operators associated with the Hamiltonians and the derivation
of the Virasoro and algebras therefrom are also investigated. Our results
suggest certain universal structure of the stochastic Hamiltonians, which might
be useful for an attempt towards a background independent string field theory.Comment: 70 pages, LaTeX, typographical errors are corrected, to be published
in Phys. Rev.
Cosmological Perturbations in Non-Commutative Inflation
We compute the spectrum of cosmological perturbations in a scenario in which
inflation is driven by radiation in a non-commutative space-time. In this
scenario, the non-commutativity of space and time leads to a modified
dispersion relation for radiation with two branches, which allows for
inflation. The initial conditions for the cosmological fluctuations are
thermal. This is to be contrasted with the situation in models of inflation in
which the accelerated expansion of space is driven by the potential energy of a
scalar field, and in which the fluctuations are of quantum vacuum type. We find
that, in the limit that the expansion of space is almost exponential, the
spectrum of fluctuations is scale-invariant with a slight red tilt. The
magnitude of the tilt is different from what is obtained in a usual
inflationary model with the same expansion rate during the period of inflation.
The amplitude also differs, and can easily be adjusted to agree with
observations.Comment: 7 pages, 1 figur
Extended Fermion Representation of Multi-Charge 1/2-BPS Operators in AdS/CFT -- Towards Field Theory of D-Branes --
We extend the fermion representation of single-charge 1/2-BPS operators in
the four-dimensional N=4 super Yang-Mills theory to general (multi-charge)
1/2-BPS operators such that all six directions of scalar fields play roles on
an equal footing. This enables us to construct a field-theorectic
representation for a second-quantized system of spherical D3-branes in the
1/2-BPS sector. The Fock space of D3-branes is characterized by a novel
exclusion principle (called `Dexclusion' principle), and also by a nonlocality
which is consistent with the spacetime uncertainty relation. The Dexclusion
principle is realized by composites of two operators, obeying the usual
canonical anticommutation relation and the Cuntz algebra, respectively. The
nonlocality appears as a consequence of a superselction rule associated with a
symmetry which is related to the scale invariance of the super Yang-Mills
theory. The entropy of the so-called superstars, with multiple charges, which
have been proposed to be geometries corresponding to the condensation of giant
gravitons is discussed from our viewpoint and is argued to be consistent with
the Dexclusion principle. Our construction may be regarded as a first step
towards a possible new framework of general D-brane field theory.Comment: 43 pages, 4 figures; version 2, corrected typos and added reference
T-Duality Transformation and Universal Structure of Non-Critical String Field Theory
We discuss a T-duality transformation for the c=1/2 matrix model for the
purpose of studying duality transformations in a possible toy example of
nonperturbative frameworks of string theory. Our approach is to first
investigate the scaling limit of the Schwinger-Dyson equations and the
stochastic Hamiltonian in terms of the dual variables and then compare the
results with those using the original spin variables. It is shown that the
c=1/2 model in the scaling limit is T-duality symmetric in the sphere
approximation. The duality symmetry is however violated when the higher-genus
effects are taken into account, owing to the existence of global Z_2 vector
fields corresponding to nontrivial homology cycles. Some universal properties
of the stochastic Hamiltonians which play an important role in discussing the
scaling limit and have been discussed in a previous work by the last two
authors are refined in both the original and dual formulations. We also report
a number of new explicit results for various amplitudes containing macroscopic
loop operators.Comment: RevTex, 46 pages, 5 eps figure
Harmonic oscillator with minimal length uncertainty relations and ladder operators
We construct creation and annihilation operators for harmonic oscillators
with minimal length uncertainty relations. We discuss a possible generalization
to a large class of deformations of cannonical commutation relations. We also
discuss dynamical symmetry of noncommutative harmonic oscillator.Comment: 8 pages, revtex4, final version, to appear in PR
Noncommutative Inflation and the CMB Multipoles
The first year results of WMAP tentatively indicate running of the spectral
index as well as a deficit of power in the low multipoles in the CMB spectrum.
The former can be rather easily understood in the noncommutative inflation
model, and the latter, as we shall show in this paper, still appears to be an
anomaly, even though the noncommutative inflation model already suppresses the
low multipoles to a certain degree. By fitting the power spectrum, we determine
the string scale to be cm.Comment: 11 pages, 4 figures, harvmac; v2: references adde
1/2-BPS Correlators as c=1 S-matrix
We argue from two complementary viewpoints of Holography that the 2-point
correlation functions of 1/2-BPS multi-trace operators in the large-N (planar)
limit are nothing but the (Wick-rotated) S-matrix elements of c=1 matrix model.
On the bulk side, we consider an Euclideanized version of the so-called
bubbling geometries and show that the corresponding droplets reach the
conformal boundary. Then the scattering matrix of fluctuations of the droplets
gives directly the two-point correlators through the GKPW prescription. On the
Yang-Mills side, we show that the two-point correlators of holomorphic and
anti-holomorphic operators are essentially equivalent with the transformation
functions between asymptotic in- and out-states of c=1 matrix model. Extension
to non-planar case is also discussed.Comment: 28 pages, 3 figures, corrected typos, version to appear in JHE
Boundary states as exact solutions of (vacuum) closed string field theory
We show that the boundary states are idempotent B*B=B with respect to the
star product of HIKKO type closed string field theory. Variations around the
boundary state correctly reproduce the open string spectrum with the gauge
symmetry. We explicitly demonstrate it for the tachyonic and massless vector
modes. The idempotency relation may be regarded as the equation of motion of
closed string field theory at a possible vacuum.Comment: 30 pages, 2 figures, v3:regularization improve
- …