Magnetic susceptibility, specific heat, and muon spin relaxation ($\ensuremath{\mu}\mathrm{SR}$) measurements have been performed on a synthesized three-dimensional sandglass-type lattice ${\mathrm{Tm}}_{3}{\mathrm{SbO}}_{7}$, where two inequivalent sets of non-Kramers ${\mathrm{Tm}}^{3+}$ ions (${\mathrm{Tm}}_{1}^{3+}$ ${\mathrm{Tm}}_{2}^{3+})$ show crystal electrical field effect at different...

Starting from an exact (in the Regge slope α ′ ) functional method for a bosonic stringy σ-model, we investigate four-dimensional cosmological string solutions in graviton, dilaton and antisymmetric tensor backgrounds, compatible with world-sheet conformal invariance, and valid beyond perturbative expansions in powers of α ′ . The antisymmetric tensor field, playing the rôle of an axion in the ...

We construct numerical solutions for non-topological solitons in threedimensional U(1)-gauged N = 2 supergravity. We find the region of the solutions showing with the BTZ mass, the angular momentum and the magnetic flux and discuss the relation among the physical parameters for various values of a cosmological constant. PACS number(s): 04.40.Dg Typeset using REVTEX e-mail: [email protected]...

One dimensional optimization on non-Archimedean fields is presented. We derive first and second order necessary and sufficient optimality conditions. For first order optimization, these conditions are similar to the corresponding real ones; but this is not the case for higher order optimization. This is due to the total disconnectedness of the given non-Archimedean field in the order topology, ...

We show the first examples of recursively enumerable (even decidable) two-dimensional products of finitely axiomatisable modal logics that are not finitely axiomatisable. In particular, we show that any axiomatisation of some bimodal logics that are determined by classes of product frames with linearly ordered first components must be infinite in two senses: It should contain infinitely many pr...

Quantum fluctuations generate in three-dimensional gauge theories not only radiative corrections to the Chern-Simons coupling but also non-analytic terms in the effective action. We review the role of those terms in gauge theories with massless fermions and Chern-Simons theories. The explicit form of non-analytic terms turns out to be dependent on the regularization scheme and in consequence th...

Self-assembly is a powerful paradigm, wherein molecules spontaneously form ordered phases exhibiting well-defined nanoscale periodicity and shapes. However, the inherent energy-minimization aspect of self-assembly yields a very limited set of morphologies, such as lamellae or hexagonally packed cylinders. Here, we show how soft self-assembling materials-block copolymer thin films-can be manipul...

It is shown that regularisation by dimensional reduction is a viable alternative to dimensional regularisation in non-supersymmetric theories.