2,336,473 research outputs found
Axial current matrix elements and pentaquark decay widths in chiral soliton models
Here I explain why in chiral soliton models the hadronic transition operator
of the pentaquark decay cannot be identified from the axial current.Comment: seven pages, note on Delta resonance added, refs updated, version to
be published in PR
Seven-dimensional Einstein Manifolds from Tod-Hitchin Geometry
We construct infinitely many seven-dimensional Einstein metrics of weak
holonomy G_2. These metrics are defined on principal SO(3) bundles over
four-dimensional Bianchi IX orbifolds with the Tod-Hitchin metrics. The
Tod-Hitchin metric has an orbifold singularity parameterized by an integer, and
is shown to be similar near the singularity to the Taub-NUT de Sitter metric
with a special charge. We show, however, that the seven-dimensional metrics on
the total space are actually smooth. The geodesics on the weak G_2 manifolds
are discussed. It is shown that the geodesic equation is equivalent to the
Hamiltonian equation of an interacting rigid body system. We also discuss
M-theory on the product space of AdS_4 and the seven-dimensional manifolds, and
the dual gauge theories in three-dimensions.Comment: 23 pages, 2 figures, LaTeX2e, typos fixed, references and a note
adde
Eigenvalue correlations on Hyperelliptic Riemann surfaces
In this note we compute the functional derivative of the induced charge
density, on a thin conductor, consisting of the union of g+1 disjoint
intervals, with respect to an external
potential. In the context of random matrix theory this object gives the
eigenvalue fluctuations of Hermitian random matrix ensembles where the
eigenvalue density is supported on J.Comment: latex 2e, seven pages, one figure. To appear in Journal of Physics
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