TL;DR: In this paper, an attempt is made to interpret the interactions of bosonic open strings as defining a non-cummulative, associative algebra, and to formulate the classical non-linear field theory of such strings in the language of non-commulative geometry.
TL;DR: In this article, the effect of duality transformations on the geometries of a subclass of two-dimensional sigma-models was investigated, and it was shown that duality preserves quantum conformal invariance at order [α′]0, where α′ is the string tension parameter, provided the change induced by duality is accompanied by a shift in the dilaton field.
TL;DR: In this paper, a comprehensive and pedagogic account of string theory is given, including a thorough introduction to the bosonic string and a detailed treatment of the tree level and one loop amplitudes.
Abstract: String Theory comprises two volumes which give a comprehensive and pedagogic account of the subject. Volume 1, first published in 1998, provides a thorough introduction to the bosonic string. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory and of the Polyakov path integral, and the covariant quantization of the string. The next three chapters treat string interactions: the general formalism, and detailed treatments of the tree level and one loop amplitudes. Chapter eight covers toroidal compactification and many important aspects of string physics, such as T-duality and D-branes. Chapter nine treats higher-order amplitudes, including an analysis of their finiteness and unitarity, and various nonperturbative ideas. An appendix giving a short course on path integral methods is included. This is an essential text and reference for graduate students and researchers interested in modern superstring theory.
TL;DR: The duality-type symmetries of string cosmology naturally lead us to expect a pre-big-bang phase of accelerated evolution as the dual counterpart of the decelerating expansion era of standard cosmology as discussed by the authors.