13,522 research outputs found
(4-Nitrophenylsulfanylmethyl)triphenylstannane and (4-nitrophenylsulfonylmethyl)triphenylstannane: R22(X) rings (X is 10, 18 or 24) and C-H...p interactions
Peer reviewedPublisher PD
Commotonicity and maximum stop-loss premiums.
In this paper, we investigate the relationship between comonotonicity and stop-loss order. We prove our main results by using a characterization of stop-loss order within the framework of Yaari's (1987) dual theory of choice under risk. Wang and Dhaene (1997) explore related problems in the case of bivariate random variables. We extend their work to an arbitrary sum of random variables and present several examples illustrating our results.
A mechanism for pair formation in strongly correlated systems
We start from a Hamiltonian describing non-interacting fermions and add
bosons to the model, with a Jaynes-Cummings-like interaction between the bosons
and fermions. Because of the specific form of the interaction the model can be
solved exactly. In the ground state, part of the electrons form bound pairs
with opposite momentum and spin. The model also shows a gap in the kinetic
energy of the fermions, but not in the spectrum of the full Hamiltonian. This
gap is not of a mean-field nature, but is due to the Pauli exclusion principle.Comment: 13 pages, corrected some notations and made some clarification
Semileptonic decays in the limit of a heavy daughter quark
The rate of the semileptonic decay b to c l v is calculated with order
alphas^2 accuracy, as an expansion around the limit of equal masses of the b
and c quarks. Recent results obtained around the limit of the c-quark much
lighter than b are confirmed. Details of the new expansion method are
described.Comment: 7 pages, 5 figure
On the Classification of Automorphic Lie Algebras
It is shown that the problem of reduction can be formulated in a uniform way
using the theory of invariants. This provides a powerful tool of analysis and
it opens the road to new applications of these algebras, beyond the context of
integrable systems. Moreover, it is proven that sl2-Automorphic Lie Algebras
associated to the icosahedral group I, the octahedral group O, the tetrahedral
group T, and the dihedral group Dn are isomorphic. The proof is based on
techniques from classical invariant theory and makes use of Clebsch-Gordan
decomposition and transvectants, Molien functions and the trace-form. This
result provides a complete classification of sl2-Automorphic Lie Algebras
associated to finite groups when the group representations are chosen to be the
same and it is a crucial step towards the complete classification of
Automorphic Lie Algebras.Comment: 29 pages, 1 diagram, 9 tables, standard LaTeX2e, submitted for
publicatio
Notes on the Verlinde formula in non-rational conformal field theories
We review and extend evidence for the validity of a generalized Verlinde
formula in particular non-rational conformal field theories. We identify a
subset of representations of the chiral algebra in non-rational conformal field
theories that give rise to an analogue of the relation between modular
S-matrices and fusion coefficients in rational conformal field theories. To
that end we review and extend the Cardy-type brane calculations in bosonic and
supersymmetric Liouville theory (and its duals) as well as in the hyperbolic
three-plane H3+. We analyze the three-point functions of Liouville theory and
of H3+ in detail to directly identify the fusion coefficients from the operator
product expansion.Comment: 29 pages, 6 figures, v2: minor corrections, PRD versio
Kinetic Antiferromagnetism in the Triangular Lattice
We show that the motion of a single hole in the infinite Hubbard model
with frustrated hopping leads to weak metallic antiferromagnetism of kinetic
origin. An intimate relationship is demonstrated between the simplest versions
of this problem in 1 and 2 dimensions, and two of the most subtle many body
problems, namely the Heisenberg Bethe ring in 1-d and the 2-dimensional
triangular lattice Heisenberg antiferromagnet.Comment: 10 pages, 2 figures, 5 supplementary figures; Figures fixe
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