Deligne, Pierre (ed.); Etingof, Pavel (ed.); Freed, Daniel S. (ed.); Jeffrey, Lisa C. (ed.); Kazhdan, David (ed.); Morgan, John W. (ed.); Morrison, David R. (ed.); Witten, Edward (ed.) Quantum fields and strings: a course for mathematicians. Vols. 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. (1999). Show indexed articles as search result. 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.Indexed articles:Deligne, Pierre; Morgan, John W., Notes on supersymmetry (following Joseph Bernstein), 41-97 [Zbl 1170.58302]Deligne, Pierre, Notes on spinors, 99-135 [Zbl 1170.81380]Deligne, Pierre; Freed, Daniel S., Classical field theory, 137-225 [Zbl 1170.53315]Deligne, Pierre; Freed, Daniel S., Supersolutions, 227-355 [Zbl 1170.81431]Deligne, Pierre; Freed, Daniel S., Sign manifesto, 357-363 [Zbl 1170.58301]Deligne, Pierre, Note on quantization, 367-375 [Zbl 1163.53349]Kazhdan, David, Introduction to QFT, 377-418 [Zbl 1170.81407]Witten, Edward, Perturbative quantum field theory, 419-473 [Zbl 1137.81357]Witten, Edward, Index of Dirac operators, 475-511 [Zbl 1170.58307]Faddeev, Ludwig, Elementary introduction to quantum field theory., 513-550 [Zbl 1137.81349]Gross, David, Renormalization groups, 551-596 [Zbl 1170.81417]Etingof, Pavel, Note on dimensional regularization, 597-607 [Zbl 1137.81358]Witten, Edward, Homework, 609-717 [Zbl 1137.81302]Gawȩdzki, Krzysztof, Lectures on conformal field theory, 727-805 [Zbl 1170.81430]D’Hoker, Eric, String theory, 807-1011 [Zbl 1170.81426]Deligne, Pierre, Super space descriptions of super gravity, 1013-1016 [Zbl 1170.58300]Gaitsgory, Dennis, Notes on 2D conformal field theory and string theory, 1017-1089 [Zbl 1170.81429]Strominger, Andrew, Kaluza-Klein compactifications, supersymmetry, and Calabi-Yau spaces, 1091-1115 [Zbl 1119.14303]Witten, Edward, Dynamics of quantum field theory, 1119-1424 [Zbl 1170.81302]Seiberg, Nathan, Dynamics of \(N=1\) supersymmetric field theories in four dimensions, 1425-1495 [Zbl 1170.81434] Cited in 6 ReviewsCited in 77 Documents MSC: 00B25 Proceedings of conferences of miscellaneous specific interest 81-06 Proceedings, conferences, collections, etc. pertaining to quantum theory 81Txx Quantum field theory; related classical field theories PDFBibTeX XMLCite \textit{P. Deligne} (ed.) et al., Quantum fields and strings: a course for mathematicians. Vols. 1, 2. Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton, NJ, 1996--1997. Providence, RI: AMS, American Mathematical Society (1999; Zbl 0984.00503) Digital Library of Mathematical Functions: §21.9 Integrable Equations ‣ Applications ‣ Chapter 21 Multidimensional Theta Functions