19,255 research outputs found
Explicit Construction of Spin 4 Casimir Operator in the Coset Model
We generalize the Goddard-Kent-Olive (GKO) coset construction to the
dimension 5/2 operator for and compute the fourth order
Casimir invariant in the coset model with the generic unitary minimal
series that can be viewed as perturbations of the
limit, which has been investigated previously in the realization of
free fermion model.Comment: 11 page
Singly-Peaked P-Cygni type Ly from starburst galaxies
We present results of Monte Carlo calculations for the Lya line transfer in
an expanding dusty supershell, where Lya source is a well-localized star
cluster in a starburst galaxy.The escape of Lya photons from such system is
achieved by a number of back-scattering, and so a series of emission peaks are
formed redward of the systemic redshift by back-scattering. However, majority
of observed Lya emission from starbursts show singly-peaked asymmetric
profiles. We find in this paper that, in order to form a singly-peaked Lya
emission, dust should be distributed in the ionized bubble, as well as within
the supershell of neutral hydrogen. We also find that the overall escape
fraction of Lya photons is determined by the HI column density of the
supershell, the expansion velocity of the supershell, and the spatial
distribution of dust. However, the kinematic information of the expanding
supershell is preserved in the profile of Lya emission even when the supershell
is dusty. Our results are potentially useful to fit the P-Cygni type Lya line
profiles from starburst galaxies, either nearby galaxies or high-z Lyman break
galaxies (LBGs).Comment: Original version was submitted to MNRAS on 13, Jan, 2003, which was
withdrawn. After heavey revison, its essence was resubmitted to ApJL on 18
Aug. 2003. 2nd revision. 10 pages, 3 figure
The Operator Product Expansion of the Lowest Higher Spin Current at Finite N
For the N=2 Kazama-Suzuki(KS) model on CP^3, the lowest higher spin current
with spins (2, 5/2, 5/2,3) is obtained from the generalized GKO coset
construction. By computing the operator product expansion of this current and
itself, the next higher spin current with spins (3, 7/2, 7/2, 4) is also
derived. This is a realization of the N=2 W_{N+1} algebra with N=3 in the
supersymmetric WZW model. By incorporating the self-coupling constant of lowest
higher spin current which is known for the general (N,k), we present the
complete nonlinear operator product expansion of the lowest higher spin current
with spins (2, 5/2, 5/2, 3) in the N=2 KS model on CP^N space. This should
coincide with the asymptotic symmetry of the higher spin AdS_3 supergravity at
the quantum level. The large (N,k) 't Hooft limit and the corresponding
classical nonlinear algebra are also discussed.Comment: 62 pages; the footnotes added, some redundant appendices removed, the
presentations in the whole paper improved and to appear in JHE
The Large N 't Hooft Limit of Kazama-Suzuki Model
We consider N=2 Kazama-Suzuki model on CP^N=SU(N+1)/SU(N)xU(1). It is known
that the N=2 current algebra for the supersymmetric WZW model, at level k, is a
nonlinear algebra. The N=2 W_3 algebra corresponding to N=2 was recovered from
the generalized GKO coset construction previously. For N=4, we construct one of
the higher spin currents, in N=2 W_5 algebra, with spins (2, 5/2, 5/2, 3). The
self-coupling constant in the operator product expansion of this current and
itself depends on N as well as k explicitly. We also observe a new higher spin
primary current of spins (3, 7/2, 7/2, 4). From the behaviors of N=2, 4 cases,
we expect the operator product expansion of the lowest higher spin current and
itself in N=2 W_{N+1} algebra. By taking the large (N, k) limit on the various
operator product expansions in components, we reproduce, at the linear order,
the corresponding operator product expansions in N=2 classical
W_{\infty}^{cl}[\lambda] algebra which is the asymptotic symmetry of the higher
spin AdS_3 supergravity found recently.Comment: 44 pages; the two typos in the first paragraph of page 23 corrected
and to appear in JHE
Lyman alpha line formation in starbursting galaxies II. Extremely Thick, Dustless, and Static HI Media
The Lya line transfer in an extremely thick medium of neutral hydrogen is
investigated by adopting an accelerating scheme in our Monte Carlo code to skip
a large number of core or resonant scatterings. This scheme reduces computing
time significantly with no sacrifice in the accuracy of the results. We applied
this numerical method to the Lya transfer in a static, uniform, dustless, and
plane-parallel medium. Two types of photon sources have been considered, the
midplane source and the uniformly distributed sources. The emergent profiles
show double peaks and absorption trough at the line-center. We compared our
results with the analytic solutions derived by previous researchers, and
confirmed that both solutions are in good agreement with each other. We
investigated the directionality of the emergent Lya photons and found that limb
brightening is observed in slightly thick media while limb darkening appears in
extremely thick media. The behavior of the directionality is noted to follow
that of the Thomson scattered radiation in electron clouds, because both Lya
wing scattering and Thomson scattering share the same Rayleigh scattering phase
function. The mean number of wing scatterings just before escape is in exact
agreement with the prediction of the diffusion approximation. The Lya photons
constituting the inner part of the emergent profiles follow the relationship
derived from the diffusion approximation. We present a brief discussion on the
application of our results to the formation of Lya broad absorption troughs and
P-Cygni type Lya profiles seen in the UV spectra of starburst galaxies.Comment: 24 papges, 12 figures, The revised version submitted to Ap
Cosmic-Ray Proton and Helium Spectra from the First CREAM Flight
Cosmic-ray proton and helium spectra have been measured with the
balloon-borne Cosmic Ray Energetics And Mass experiment flown for 42 days in
Antarctica in the 2004-2005 austral summer season. High-energy cosmic-ray data
were collected at an average altitude of ~38.5 km with an average atmospheric
overburden of ~3.9 g cm. Individual elements are clearly separated with
a charge resolution of ~0.15 e (in charge units) and ~0.2 e for protons and
helium nuclei, respectively. The measured spectra at the top of the atmosphere
are represented by power laws with a spectral index of -2.66 0.02 for
protons from 2.5 TeV to 250 TeV and -2.58 0.02 for helium nuclei from 630
GeV/nucleon to 63 TeV/nucleon. They are harder than previous measurements at a
few tens of GeV/nucleon. The helium flux is higher than that expected from the
extrapolation of the power law fitted to the lower-energy data. The relative
abundance of protons to helium nuclei is 9.1 0.5 for the range from 2.5
TeV/nucleon to 63 TeV/nucleon. This ratio is considerably smaller than the
previous measurements at a few tens of GeV/nucleon.Comment: 20 pages, 4 figure
The Primary Spin-4 Casimir Operators in the Holographic SO(N) Coset Minimal Models
Starting from SO(N) current algebra, we construct two lowest primary higher
spin-4 Casimir operators which are quartic in spin-1 fields. For N is odd, one
of them corresponds to the current in the WB_{\frac{N-1}{2}} minimal model. For
N is even, the other corresponds to the current in the WD_{\frac{N}{2}} minimal
model. These primary higher spin currents, the generators of wedge subalgebra,
are obtained from the operator product expansion of fermionic (or bosonic)
primary spin-N/2 field with itself in each minimal model respectively. We
obtain, indirectly, the three-point functions with two real scalars, in the
large N 't Hooft limit, for all values of the 't Hooft coupling which should be
dual to the three-point functions in the higher spin AdS_3 gravity with matter.Comment: 65 pages; present the main results only and to appear in JHEP where
one can see the Appendi
Time-convolutionless reduced-density-operator theory of a noisy quantum channel: a two-bit quantum gate for quantum information processing
An exact reduced-density-operator for the output quantum states in
time-convolutionless form was derived by solving the quantum Liouville equation
which governs the dynamics of a noisy quantum channel by using a projection
operator method and both advanced and retarded propagators in time. The
formalism developed in this work is general enough to model a noisy quantum
channel provided specific forms of the Hamiltonians for the system, reservoir,
and the mutual interaction between the system and the reservoir are given.
Then, we apply the formulation to model a two-bit quantum gate composed of
coupled spin systems in which the Heisenberg coupling is controlled by the
tunneling barrier between neighboring quantum dots. Gate Characteristics
including the entropy, fidelity, and purity are calculated numerically for both
mixed and entangled initial states
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