Barbara\u27s Fart Creates a Fracas

We read address, swerved, veered car at West Exeter Street; we were at Barbara\u27s fete, as were Vera, Bert, Bart, Dave, Fred, Sara, Steve. Actress Barbara, a faded stage star, fretted re: fat, crafted decreased-stew, beer bread, watercress, grated feta, brew, sweet dessert served were fat-free

Topological Dilatonic Supergravity Theories

We present a central extension of the $(m,n)$ super-Poincar\'e algebra in two dimensions. Besides the usual Poincar\'e generators and the $(m,n)$ supersymmetry generators we have $(m,n)$ Grassmann generators, a bosonic internal symmetry generator and a central charge. We then build up the topological gauge theory associated to this algebra. We can solve the classical field equations for the fields which do not belong to the supergravity multiplet and to a Lagrange multiplier multiplet. The resulting topological supergravity theory turns out to be non-local in the fermionic sector.Comment: 11 pages, plain TeX, IFUSP-P/112

On the symplectic structures arising in Optics

Geometric optics is analysed using the techniques of Presymplectic Geometry. We obtain the symplectic structure of the space of light rays in a medium of a non constant refractive index by reduction from a presymplectic structure, and using adapted coordinates, we find Darboux coordinates. The theory is illustrated with some examples and we point out some simple physical applicationsComment: AmsTeX file and 2 figures (epsf required). To appear in Forsch. der Physik. This version replaces that of (96/02/09) where postcript files containing figures were corrupte

Group-quantization of non-linear sigma models: particle on S^2 revisited

We present the quantum mechanics of "partial-trace" non-linear sigma models, on the grounds of a fully symmetry-based procedure. After the general scheme is sketched, the particular example of a particle on the two-sphere is explicitly developed. As a remarkable feature, no explicit constraint treatment is required nor ordering ambiguities do appear. Moreover, the energy spectrum is recovered without extra terms in the curvature of the sphere.Comment: 8 page

The spin-statistics connection in classical field theory

The spin-statistics connection is obtained for a simple formulation of a classical field theory containing even and odd Grassmann variables. To that end, the construction of irreducible canonical realizations of the rotation group corresponding to general causal fields is reviewed. The connection is obtained by imposing local commutativity on the fields and exploiting the parity operation to exchange spatial coordinates in the scalar product of classical field evaluated at one spatial location with the same field evaluated at a distinct location. The spin-statistics connection for irreducible canonical realizations of the Poincar\'{e} group of spin $j$ is obtained in the form: Classical fields and their conjugate momenta satisfy fundamental field-theoretic Poisson bracket relations for 2$j$ even, and fundamental Poisson antibracket relations for 2$j$ oddComment: 27 pages. Typos and sign error corrected; minor revisions to tex

The local structure of n-Poisson and n-Jacobi manifolds

N-Lie algebra structures on smooth function algebras given by means of multi-differential operators, are studied. Necessary and sufficient conditions for the sum and the wedge product of two $n$-Poisson sructures to be again a multi-Poisson are found. It is proven that the canonical $n$-vector on the dual of an n-Lie algebra g is n-Poisson iff dim(g) are not greater than n+1. The problem of compatibility of two n-Lie algebra structures is analyzed and the compatibility relations connecting hereditary structures of a given n-Lie algebra are obtained. (n+1)-dimensional n-Lie algebras are classified and their "elementary particle-like" structure is discovered. Some simple applications to dynamics are discussed.Comment: 45 pages, latex, no figure

Bianchi Cosmologies with Anisotropic Matter: Locally Rotationally Symmetric Models

The dynamics of cosmological models with isotropic matter sources (perfect fluids) is extensively studied in the literature; in comparison, the dynamics of cosmological models with anisotropic matter sources is not. In this paper we consider spatially homogeneous locally rotationally symmetric solutions of the Einstein equations with a large class of anisotropic matter models including collisionless matter (Vlasov), elastic matter, and magnetic fields. The dynamics of models of Bianchi types I, II, and IX are completely described; the two most striking results are the following: (i) There exist matter models, compatible with the standard energy conditions, such that solutions of Bianchi type IX (closed cosmologies) need not necessarily recollapse; there is an open set of forever expanding solutions. (ii) Generic type IX solutions associated with a matter model like Vlasov matter exhibit oscillatory behavior toward the initial singularity. This behavior differs significantly from that of vacuum/perfect fluid cosmologies; hence "matter matters". Finally, we indicate that our methods can probably be extended to treat a number of open problems, in particular, the dynamics of Bianchi type VIII and Kantowski-Sachs solutions.Comment: 64 pages, 19 Figure

Single Boson Images Via an Extended Holstein Primakoff Mapping

The Holstein-Primakoff mapping for pairs of bosons is extended in order to accommodate single boson mapping. The proposed extension allows a variety of applications and especially puts the formalism at finite temperature on firm grounds. The new mapping is applied to the O(N+1) anharmonic oscillator with global symmetry broken down to O(N). It is explicitly demonstrated that N-Goldstone modes appear. This result generalizes the Holstein-Primakoff mapping for interacting boson as developed in ref.[1].Comment: 9 pages, LaTeX. Physical content unchanged. Unnecessary figure remove

Disease management patterns for postmenopausal women in Europe with hormone-receptor-positive, human epidermal growth factor receptor-2 negative advanced breast cancer.

peer reviewedAbstract Background: International guidelines for hormone-receptor-positive (HR+), human epidermal growth factor receptor-2 negative (HER2-) advanced breast cancer (BC) recommend sequential lines of hormonal therapy (HT), and only recommend chemotherapy for patients with extensive visceral involvement or rapidly progressive disease. This study evaluated actual physician-reported treatments for advanced BC in Europe. Methods: We conducted a retrospective chart review of 355 postmenopausal women with HR+, HER2- advanced BC who progressed on >/=1 line of HT (adjuvant or advanced) and completed >/=1 line of chemotherapy (advanced). Treatment choice was evaluated for each line of therapy. Results: Of 355 patients, 111 (31%) received first-line chemotherapy, whereas 218 (61%) and 26 (7%) switched from HT to chemotherapy in second and third line, respectively. More patients receiving first-line HT had bone metastases (73% vs 27% chemotherapy). Patients treated with first-line chemotherapy had more brain (12% vs 3% HT) or extensive liver (13% vs 6% HT) metastases. Subgroup analysis of 188 patients who received first-line HT and had de novo advanced BC or relapsed/recurrent disease more than 1 year after adjuvant therapy found that the majority (89%; n = 167) of these patients switched to chemotherapy in second line. However, among these 167 patients, 27% had no significant changes in metastases between first and second line. Among the 73% of patients who had significant changes in metastases, 20% had no brain metastases or extensive visceral disease. Conclusions: Our study suggests that the guideline-recommended use of multiple HT lines is open to interpretation and that optimal treatment for European postmenopausal women with HR+, HER2- advanced BC who responded to HT may not be achieved

Projective representation of k-Galilei group

The projective representations of k-Galilei group G_k are found by contracting the relevant representations of k-Poincare group. The projective multiplier is found. It is shown that it is not possible to replace the projective representations of G_k by vector representations of some its extension.Comment: 15 pages Latex fil