The authors review the theory and phenomenology of instantons in quantum
chromodynamics (QCD). After a general overview, they provide a pedagogical introduction …

Theories with gauge-mediated supersymmetry breaking provide an interesting alternative to
the scenario in which the soft terms of the low-energy fields are induced by gravity. These …

A twisted version of four dimensional supersymmetric gauge theory is formulated. The
model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent …

I provide a pedagogical introduction to supersymmetry. The level of discussion is aimed at
readers who are familiar with the Standard Model and quantum field theory, but who have …

I provide a pedagogical introduction to supersymmetry. The level of discussion is aimed at
readers who are familiar with the Standard Model and quantum field theory, but who have …

We demonstrate electric-magnetic duality in N= 1 supersymmetric non-Abelian gauge
theories in four dimensions by presenting two different gauge theories (different gauge …

In models with dynamical supersymmetry breaking in the hidden sector, the gaugino masses
in the observable sector have been believed to be extremely suppressed (below 1 keV) …

We discuss our present knowledge of α s, the fundamental running coupling or effective
charge of Quantum Chromodynamics (QCD). A precise understanding of the running of α s …

We study N= 2 supersymmetric four-dimensional gauge theories, in a certain 525-02= 2
supergravity background, called the Ω-background. The partition function of the theory in the …

This thorough and detailed exposition is the result of an intensive month-long course on
mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry …