We review the question of whether the fundamental laws of nature limit our ability to probe
arbitrarily short distances. First, we examine what insights can be gained from thought …

This article reviews the generalization of field theory to space-time with noncommuting
coordinates, starting with the basics and covering most of the active directions of research …

String theory is one of the most exciting and challenging areas of modern theoretical
physics. This book guides the reader from the basics of string theory to recent developments …

A pedagogical and self-contained introduction to noncommutative quantum field theory is
presented, with emphasis on those properties that are intimately tied to string theory and …

We study three-dimensional conformal field theories described by U (N) Chern–Simons
theory at level k coupled to massless fermions in the fundamental representation. By solving …

A general noncommutative quantum mechanical system in a central potential V= V (r) in two
dimensions is considered. The spectrum is bounded from below and, for large values of the …

In this review we describe our current understanding of the properties of open string
tachyons on an unstable D-brane or brane–antibrane system in string theory. The various …

The first part of this paper is a review of the author's work with S. Bahcall which gave an
elementary derivation of the Chern Simons description of the Quantum Hall effect for filling …

We propose a classification of BPS states in holographic CFTs into monotone and fortuitous,
based on their behaviors in the large $ N $ limit. Intuitively, monotone BPS states form …

We propose a finite Chern-Simons matrix model on the plane as an effective description of
fractional quantum Hall fluids of finite extent. The quantization of the inverse filling fraction …