History of Supersymmetric Extensions of the Standard Model

We recall the many obstacles which seemed, long ago, to prevent supersymmetry from possibly being a fundamental symmetry of Nature. We also present their solutions, leading to the construction of the supersymmetric extensions of the Standard Model. Finally we discuss briefly the early experimental searches for Supersymmetry.Comment: 40 pages, 10 figures, 3 Table

“‘Relentless Geography’: Los Angeles’ Imagined Cartographies in Karen Tei Yamashita’s Tropic of Orange,”

What would a map of Los Angeles drawn from the ground up look like? In his groundbreaking work The Production of Space (1974), Henri Lefebvre argues that the conceived space of urban planners is fundamentally distinct from lived space, which cannot be mapped out. In her impressive city-wide narrative, Karen Tei Yamashita’s Tropic of Orange (1997) demonstrates the effects of imposing conceived space upon the lived space of inner city Los Angeles residents, and what happens when the counter-model of space being lived by a city’s inhabitants rebels. Yamashita’s text mirrors this disjuncture between represented and lived space through the use of narrative surrealism. Space is magically reconfigured in the city, shrinking the uninhabited Downtown and expanding over-populated yet underrepresented neighborhoods, literally shifting geographically until its mapping matches the social space of those on the ground rather than those who map it from above. Literary criticism on the novel to date has largely interpreted Tropic of Orange as a commentary on the effects of globalization; not enough attention has been paid to the novel’s surreal expansion of Los Angeles’ inner city. Using Lefebvre’s “science of space,” anchored by Los Angeles’ city planning schemas, I argue that Yamashita offers a different map, one perceived by the subsets of LA’s population that fall through the cracks of the city’s grid. Tropic of Orange’s unorthodox formal structure, when combined with its narrative surrealism, creates a differential space in the text, transforming the novel into the Los Angeles imagined by its anonymous users

Mass Spectrum in the Minimal Supersymmetric 3-3-1 model

We consider the minimal supersymmetric extension of the 3-3-1 model. We study the mass spectra of this model in the fermionic and gauge bosons sectors without the antisextet. We also present some phenomenological consequences of this model at colliders such as Large Hadron Collider (LHC) and International Linear Collider(ILC).Comment: 39 pages, 3 Tables and 9 figure

A supersymmetric 3-4-1 model

We build the complete supersymmetric version of a 3-4-1 gauge model using the superfield formalism. We point out that a discrete symmetry, similar to the R-symmetry in the minimal supersymmetric standard model, is possible to be defined in this model. Hence we have both R-conserving and R-violating possibilities. We also discuss some phenomenological results coming from this model.Comment: 23 pages, 2 figures and 1tabl

A Jenkins-Serrin problem on the strip

We describe the family of minimal graphs on strips with boundary values $\pm\infty$ disposed alternately on edges of length one, and whose conjugate graphs are contained in horizontal slabs of width one in $\mathbb{R}^3$. We can obtain as limits of such graphs the helicoid, all the doubly periodic Scherk minimal surfaces and the singly periodic Scherk minimal surface of angle $\pi/2$