A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

In 1973 two Salam protégés (Derek Capper and the author) discovered that the conformal
invariance under Weyl rescalings of the metric tensor displayed by classical massless-field …

This is the third, substantially revised edition of this important monograph. The book is
concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras …

We present an investigation of the massless, two-dimentional, interacting field theories.
Their basic property is their invariance under an infinite-dimensional group of conformal …

Twenty-five years ago, Michael Green, John Schwarz, and Edward Witten wrote two
volumes on string theory. Published during a period of rapid progress in this subject, these …

A wave equation for free fermions is proposed based on the structure of the dual theory for
bosons. Its formal properties preserve the role played by the Virasoro algebra. Additional …

We provide an overview of the string landscape and the Swampland program. Our review of
the string landscape covers the worldsheet and spacetime perspectives, including vacua …

A new dual-resonance model of mesons is constructed through the use of creation and
annihilation operators having simple anticommutation properties as well as harmonic …

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 …

Covariant quantization of string theories is developed in the context of conformal field theory
and the BRST quantization procedure. The BRST method is used to covariantly quantize …