Description
Book SynopsisIdeas from quantum field theory and string theory have had considerable impact on mathematics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. These volumes are a written record of the program.
Table of ContentsVolume 1, Part 1. Classical Fields and Supersymmetry: Notes on supersymmetry (following Joseph Bernstein) by P. Deligne and J. W. Morgan Notes on spinors by P. Deligne Classical field theory by P. Deligne and D. S. Freed Supersolutions by P. Deligne and D. S. Freed Sign manifesto by P. Deligne and D. S. Freed Volume 1, Part 2. Formal Aspects of QFT: Note on quantization by P. Deligne Introduction to QFT by D. Kazhdan Perturbative quantum field theory by E. Witten Index of Dirac operators by E. Witten Elementary introduction to quantum field theory by L. Faddeev Renormalization groups by D. Gross Note on dimensional regularization by P. Etingof Homework by E. Witten Index Volume 2, Part 3. Conformal Field Theory and Strings: Lectures on conformal field theory by K. Gawedzki Perturbative string theory by E. D'Hoker Super space descriptions of super gravity by P. Deligne Notes on 2d conformal field theory and string theory by D. Gaitsgory Kaluza-Klein compactifications, supersymmetry, and Calabi-Yau spaces by A. Strominger Volume 2, Part 4. Dynamical Aspects of QFT: Dynamics of Quantum Field Theory by E. Witten $N = 1$ supersymmetric field theories in four dimensions by N. Sieberg Index.
