Using LEP1, SLD and LEP2 data, for tau lepton production, and data from pp̄ colliders and LEP2, for W decays into tau leptons, we set model independent limits on non-standard electromagnetic and weak magnetic moments of the tau lepton. The most general effective Lagrangian giving rise to tau moments is used without further assumptions. Precise bounds (2σ) on the non-standard model contributions ...

We study the duality between string theory on AdS3 × S × S and twodimensional conformal theories with large N = 4 superconformal algebra Aγ. We discuss configurations of intersecting branes which give rise to such near-horizon geometries. We compute the Kaluza-Klein spectrum and propose that the boundary superconformal theory can be described by a sigma model on a suitable symmetric product spa...

then we might say that “Brownian motion X spends a units of local time at x.” Note that the normalization in (1.1) is different from that used in the definition of the local time for 1-dimensional Brownian motion. One of the things we will show is that points x with the property (1.1) do exist for some a. Let Dim(A) denote the Hausdorff dimension of the set A. The carrying dimension of a measur...

A homogeneous factorisation of a digraph Γ consists of a partition P = {P1, . . . , Pk} of the arc set AΓ and two vertex-transitive subgroups M 6 G 6 Aut(Γ) such that M fixes each Pi setwise while G leaves P invariant and permutes its parts transitively. Given two graphs Γ1 and Γ2 we consider several ways of taking a product of Γ1 and Γ2 to form a larger graph, namely the direct product, cartes...

The Ginsparg-Wilson relation Dγ5 + γ5D = 2aDRγ5D with R = (aγ5D) 2k is discussed. An explicit realization of D is constructed. It is shown that this sequence of topologically-proper lattice Dirac operators tend to a nonlocal operator in the limit k → ∞. This suggests that the locality of a lattice Dirac operator is irrelevant to its index.