29,908 research outputs found
Euler's partition theorem for all moduli and new companions to Rogers-Ramanujan-Andrews-Gordon identities
In this paper, we give a conjecture, which generalises Euler's partition
theorem involving odd parts and different parts for all moduli. We prove this
conjecture for two family partitions. We give -difference equations for the
related generating function if the moduli is three. We provide new companions
to Rogers-Ramanujan-Andrews-Gordon identities under this conjecture.Comment: 12 pages, revised versio
Moduli Stabilization in Type IIB Flux Compactifications
In the present paper, we reexamine the moduli stabilization problem of the
Type IIB orientifolds with one complex structure modulus in a modified two-step
procedure. The full superpotential including both the 3-form fluxes and the
non-perturbative corrections is used to yield a F-term potential. This
potential is simplified by using one optimization condition to integrate the
dilaton field out. It is shown that having a locally stable supersymmetric
Anti-deSitter vacuum is not inevitable for these orientifolds, which depend
strongly upon the details of the flux parameters. For those orientifolds that
have stable/metastable supersymmetry-broken minima of the F-term potential, the
deSitter vacua might emerge even without the inclusion of the uplifting
contributions.Comment: 10 pages, LaTeX2e style. The paper is rewritten in ver3 with more
references adde
Andreev Bound states in One Dimensional Topological Superconductor
We study the charge character of the Andreev bound states (ABSs) in
one-dimensional topological superconductors with spatial inversion symmetry
(SIS) breaking. Despite the absence of the SIS, we show a hidden symmetry for
the Bogoliubov de Gennes equations around Fermi points in addition to the
particle-hole symmetry. This hidden symmetry protects that the charge of the
ABSs is solely dependent on the corresponding Fermi velocities. On the other
hand, if the SIS is present, the ABSs are charge neutral, similar to Majorana
fermions. We demonstrate that the charge of the ABSs can be experimentally
measured in the tunneling transport spectroscopy from the resonant differential
tunneling conductance.Comment: 4 pages plus appendix; 4 figure
An investigation into the effect of mixing on the secondary nucleation of sodium chlorate in a stirred tank and an oscillatory baffled crystallizer
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