The Status of Supersymmetry

Supersymmetry searches are about to enter an important new era. With LEP 200 and the Main Injector, they will, for the first time, begin to probe significant regions of the supersymmetric parameter space. There is a real chance that supersymmetry might indeed be found before the advent of the LHC.Comment: Invited talk given at PbarP95, May 9-13, 1995, Fermilab. This summary is intended for experimentalist

Quantum Corrections to Deep Bags

Nontopological solitons, or ``bags,'' can arise when fermions acquire their mass through a Yukawa coupling to some scalar field. Bags have played an important role in models of baryons, nuclei, and more recently, in the idea that a Higgs condensate may form around a very heavy top quark. It has been claimed that deep bags, which correspond to tightly-bound states of fermions, will form when the Yukawa coupling is strong. Quantum corrections, however, are significant in this regime. We examine the effects of these quantum corrections on the formation of nontopological solitons in an exactly solvable large-$N$ model. We find that quantum bags differ dramatically from those of the classical theory. In particular, for large Yukawa coupling, the bags remain shallow and the fermions weakly bound.Comment: Talk given at the XXVI Int. Conf. on High Energy Physics, August, 1992 LATEX file, 7 pages + 2 figures available upon request, JHU-TIPAC-92002

Brane-Localized Goldstone Fermions in Bulk Supergravity

We construct the action and transformation laws for bulk five-dimensional AdS supergravity coupled to one or two brane-localized Goldstone fermions. The resulting bulk-plus-brane system gives a model-independent description of brane-localized supersymmetry breaking in the Randall-Sundrum scenario. We explicitly reduce the action and transformation laws to spontaneously broken four-dimensional supergravity.Comment: 22 page

Modeling Multiple M2's

We investigate the worldvolume theory that describes N coincident M2-branes ending on an M5 brane. We argue that the fields that describe the transverse spacetime coordinates take values in a non-associative algebra. We postulate a set of supersymmetry transformations and find that they close into a novel gauge symmetry. We propose a three-dimensional N=2 supersymmetric action to describe the truncation of the full theory to the scalar and spinor fields, and show how a Basu-Harvey fuzzy funnel arises as the BPS solution to this theory.Comment: Typos corrected, version to appear in PR

Observing Electroweak Symmetry Breaking at the SSC

In this talk we survey the SSC signals and backgrounds for the physics of electroweak symmetry breaking. We study the process $pp \rightarrow WWX$ and compute the rate for the ``gold-plated'' signals $W^\pm \rightarrow \ell^\pm \nu$ and $Z \rightarrow \ell^+\ell^-$ $(\ell = e,\mu)$ for a wide variety of models. We use a forward jet tag and central jet veto to suppress the standard-model backgrounds. In this way we estimate the SSC sensitivity to the physics of electroweak symmetry breaking. (Revised version contains style file ichep.sty.)Comment: 5 pages; JHU-TIPAC-920028; Talk given at the XXVI ICHEP, Dalla