Survey of mathematical foundations of QFT and perturbative string theory

Abstract

Recent years have seen noteworthy progress in the mathematical formulation of quantum field theory and perturbative string theory. We give a brief survey of these developments. It serves as an introduction to the more detailed collection "Mathematical Foundations of Quantum Field Theory and Perturbative String Theory".

This is the introduction to the upcoming volume "Mathematical Foundations of Quantum Field Theory and Perturbative String Theory", edited by the authors and published by the American Mathematical Society

References in corpus (10)

• Twisted differential String and Fivebrane structures
• Čech cocycles for differential characteristic classes -- An infinity-Lie theoretic construction
• D-branes and K-theory in 2D topological field theory
• Derived Algebraic Geometry V: Structured Spaces
• Higher string topology operations
• Categorification and correlation functions in conformal field theory
• Algebraic Quantum Field Theory
• An Algebraic Construction of Boundary Quantum Field Theory
• Bundle Gerbes and Surface Holonomy
• Models for $(\infty ,n)$-categories and the cobordism hypothesis

Cited by in corpus (2)

• Differential cohomology in a cohesive infinity-topos
• Quantization via Linear homotopy types