A comprehensive introduction to the mathematical description of strings, D-branes and the geometry of strongly curved spacetime.

Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many ap

Research in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This

This 2017 volume, now reissued as OA, provides an accessible, detailed introduction to instanton methods and their many applications.

This volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.