Study of Rare B Meson Decays at Belle

In this paper, we briefly review results on rare decays of $B$ mesons from the Belle experiment, based on 10.4 fb$^{-1}$ data collected on the $\Upsilon$(4S) resonance. The topics include measurements of Cabibbo suppressed decays $B \to D^{(*)} K^{(*)}$, charmless two-body decays $B \to \pi\pi$, $K\pi$, $KK$ and $B \to \eta^{'} h (h = K^+, \pi^+, K^0)$, and a search for flavor changing neutral current decays $B \to K^{(*)} \ell^{+} \ell^{-}$.Comment: 21 pages, 8 figures, Contribution to the Proceedings of the 4th International Workshop on B Physics and CP Violation (BCP4), February 19-23, 2001, Ise-Shima, Japa

The inverse loop transform

The loop transform in quantum gauge field theory can be recognized as the Fourier transform (or characteristic functional) of a measure on the space of generalized connections modulo gauge transformations. Since this space is a compact Hausdorff space, conversely, we know from the Riesz-Markov theorem that every positive linear functional on the space of continuous functions thereon qualifies as the loop transform of a regular Borel measure on the moduli space. In the present article we show how one can compute the finite joint distributions of a given characteristic functional, that is, we derive the inverse loop transform.Comment: 15 pages, Late

Constants of motion and the conformal anti - de Sitter algebra in (2+1)-Dimensional Gravity

Constants of motion are calculated for 2+1 dimensional gravity with topology R x T^2 and negative cosmological constant. Certain linear combinations of them satisfy the anti - de Sitter algebra so(2,2) in either ADM or holonomy variables. Quantisation is straightforward in terms of the holonomy parameters. On inclusion of the Hamiltonian three new global constants are derived and the quantum algebra extends to that of the conformal algebra so(2,3). The modular group appears as a discrete subgroup of the conformal group. Its quantum action is generated by these conserved quantities.Comment: 22 pages, Plain Tex, No Figure

New Charm Results from Focus

New results from the photoproduction experiment FOCUS are reported: Dalitz plot analysis, semileptonic form factor ratios and excited meson spectroscopy.Comment: 8 pages, 5 figures, Frascati preprint style lnfprep.sty (included). Presented by S.Bianco at the 18th Rencontres de Physique de la Vallee d'Aoste 29 February-6 March, La Thuile, Vallee d'Aoste, Italy. Frascati preprint LNF-04/14(P), Fermilab preprint FERMILAB-CONF-04-372-

Exceptional geometry and tensor fields

We present a tensor calculus for exceptional generalised geometry. Expressions for connections, torsion and curvature are given a unified formulation for different exceptional groups E_n(n). We then consider "tensor gauge fields" coupled to the exceptional generalised gravity. Many of the properties of forms on manifolds are carried over to these fields.Comment: 22 pp., plain tex. v3: improved reference

Mixed-type functional differential equations: A numerical approach

This is a PDF version of a preprint submitted to Elsevier. The definitive version was published in Journal of computational and applied mathematics and is available at www.elsevier.comThis preprint discusses mixed-type functional equations