2,508 research outputs found
Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
We apply the technique of Hamiltonian reduction for the construction of
three-dimensional supersymmetric mechanics specified by the
presence of a Dirac monopole. For this purpose we take the conventional supersymmetric mechanics on the four-dimensional conformally-flat spaces
and perform its Hamiltonian reduction to three-dimensional system. We formulate
the final system in the canonical coordinates, and present, in these terms, the
explicit expressions of the Hamiltonian and supercharges. We show that, besides
a magnetic monopole field, the resulting system is specified by the presence of
a spin-orbit coupling term. A comparison with previous work is also carried
out.Comment: 9 pages, LaTeX file, PACS numbers: 11.30.Pb, 03.65.-w, accepted for
publication in PRD; minor changes in the Conclusion, the Bibliography and the
Acknowledgemen
The geometry of N=4 twisted string
We compare N=2 string and N=4 topological string within the framework of the
sigma model approach. Being classically equivalent on a flat background, the
theories are shown to lead to different geometries when put in a curved space.
In contrast to the well studied Kaehler geometry characterising the former
case, in the latter case a manifold has to admit a covariantly constant
holomorphic two-form in order to support an N=4 twisted supersymmetry. This
restricts the holonomy group to be a subgroup of SU(1,1) and leads to a
Ricci--flat manifold. We speculate that, the N=4 topological formalism is an
appropriate framework to smooth down ultraviolet divergences intrinsic to the
N=2 theory.Comment: 20 pages, LaTe
On the uniqueness of the unitary representations of the non commutative Heisenberg-Weyl algebra
In this paper we discuss the uniqueness of the unitary representations of the
non commutative Heisenberg-Weyl algebra. We show that, apart from a critical
line for the non commutative position and momentum parameters, the Stone-von
Neumann theorem still holds, which implies uniqueness of the unitary
representation of the Heisenberg-Weyl algebra.Comment: 4 page
Suppression of electron-electron repulsion and superconductivity in Ultra Small Carbon Nanotubes
Recently, ultra-small-diameter Single Wall Nano Tubes with diameter of have been produced and many unusual properties were observed, such as
superconductivity, leading to a transition temperature , much
larger than that observed in the bundles of larger diameter tubes.
By a comparison between two different approaches, we discuss the issue
whether a superconducting behavior in these carbon nanotubes can arise by a
purely electronic mechanism. The first approach is based on the Luttinger Model
while the second one, which emphasizes the role of the lattice and short range
interaction, is developed starting from the Hubbard Hamiltonian. By using the
latter model we predict a transition temperature of the same order of magnitude
as the measured one.Comment: 7 pages, 3 figures, to appear in J. Phys.-Cond. Ma
The role of chiral loops in
We consider the rare decay and calculate the
non-resonant contribution to the amplitude to one loop in Chiral Perturbation
Theory. We display our result as both a diphoton energy spectrum and a partial
decay rate as a function of the photon energy cut. It turns out that the
one-loop correction can be numerically very important and could be detected, at
sufficiently large center-of-mass photon energies, from a measurement of the
partial decay width.Comment: 10 pages, Latex. Discussion on the resonant background enlarged, sign
error corrected, basic results unchanged. To appear in Phys. Lett.
On Quantum Special Kaehler Geometry
We compute the effective black hole potential V of the most general N=2, d=4
(local) special Kaehler geometry with quantum perturbative corrections,
consistent with axion-shift Peccei-Quinn symmetry and with cubic leading order
behavior. We determine the charge configurations supporting axion-free
attractors, and explain the differences among various configurations in
relations to the presence of ``flat'' directions of V at its critical points.
Furthermore, we elucidate the role of the sectional curvature at the
non-supersymmetric critical points of V, and compute the Riemann tensor (and
related quantities), as well as the so-called E-tensor. The latter expresses
the non-symmetricity of the considered quantum perturbative special Kaehler
geometry.Comment: 1+43 pages; v2: typo corrected in the curvature of Jordan symmetric
sequence at page 2
Single Wall Nanotubes: Atomic Like Behaviour and Microscopic Approach
Recent experiments about the low temperature behaviour of a Single Wall
Carbon Nanotube (SWCNT) showed typical Coulomb Blockade (CB) peaks in the zero
bias conductance and allowed us to investigate the energy levels of interacting
electrons. Other experiments confirmed the theoretical prediction about the
crucial role which the long range nature of the Coulomb interaction plays in
the correlated electronic transport through a SWCNT with two intramolecular
tunneling barriers. In order to investigate the effects on low dimensional
electron systems due to the range of electron electron repulsion, we introduce
a model for the interaction which interpolates well between short and long
range regimes. Our results could be compared with experimental data obtained in
SWCNTs and with those obtained for an ideal vertical Quantum Dot (QD).
For a better understanding of some experimental results we also discuss how
defects and doping can break some symmetries of the bandstructure of a SWCNT.Comment: 8 pages, 4 figure
Trust and Learning
Learning to trust the right partner is pivotal to survival. But what information matters to decide whom to trust? In this chapter, we review evidence suggesting that different character traits play a role in the formation of trustworthiness impressions and beliefs that guide trust decisions. Learning of these traits depends on available information about the other person, previous knowledge, and contextual circumstances. Interestingly, when these factors favor the learning of particular traits, the resulting beliefs are harder to revise and lead to behavioral patterns that suggest a learning impairment. Computational models indicate an asymmetry in feedback valuation that is not due to the type of feedback (e.g., positive or negative) but rather to previous knowledge and contextual factors (e.g., the reputation of the other person). Neuroimaging studies highlight the role of mentalizing brain regions in building adequate mental models of others. Specifically, the orbitofrontal cortex and temporoparietal junction are central to the formation and updating of trustworthiness beliefs. Further, the dorsal posterior cingulate cortex and lateral frontoparietal regions likely underpin information integration processes for behavior change in face of untrustworthiness. We finally call for collaborative efforts in future scientific enterprises to develop a still lacking neurocomputational theory of social learning
Constant magnetic field and 2d non-commutative inverted oscillator
We consider a two-dimensional non-commutative inverted oscillator in the
presence of a constant magnetic field, coupled to the system in a
``symplectic'' and ``Poisson'' way. We show that it has a discrete energy
spectrum for some value of the magnetic field.Comment: 7 pages, LaTeX file, no figures, PACS number: 03.65.-
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