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Quantum fields and strings: a course for mathematicians. Vol. 1, 2. Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton, NJ, 1996–1997. (English) Zbl 0984.00503
Providence, RI: AMS, American Mathematical Society. 1501 p. \$ 75.00 (1999).
Contents: Introduction (1-5); Glossary (7-37); Pierre Deligne and John W. Morgan, Notes on supersymmetry (following Joseph Bernstein) (41-97); Pierre Deligne, Notes on spinors (99-135); Pierre Deligne and Daniel S. Freed, Classical field theory (137-225); Pierre Deligne and Daniel S. Freed, Supersolutions (227-355); Pierre Deligne and Daniel S. Freed, Sign manifesto (357-363); Pierre Deligne, Note on quantization (367-375); David Kazhdan, Introduction to QFT (377-418); Edward Witten, Perturbative quantum field theory (419-473); Edward Witten, Index of Dirac operators (475-511); Ludwig Faddeev, Elementary introduction to quantum field theory (513-550); David Gross, Renormalization groups (551-596); Pavel Etingof, Note on dimensional regularization (597-607); Edward Witten, Homework (609-717); Krzysztof Gawedzki, Lectures on conformal field theory (727-805); Eric D’Hoker, String theory (807-1011); Pierre Deligne, Super space descriptions of super gravity (1013-1016); Dennis Gaitsgory, Notes on 2D conformal field theory and string theory (1017-1089); Andrew Strominger, Kaluza-Klein compactifications, supersymmetry, and Calabi-Yau spaces (1091-1115); Edward Witten, Dynamics of quantum field theory (1119-1424); Nathan Seiberg, Dynamics of $N=1$ supersymmetric field theories in four dimensions (1425-1495). The articles of this volume will be reviewed individually.

##### MSC:
 00B25 Proceedings of conferences of miscellaneous specific interest 81-06 Proceedings of conferences (quantum theory) 81T30 String and superstring theories 81Txx Quantum field theory and related classical field theories