functorial quantum field theory
Reshetikhin?Turaev model? / Chern-Simons theory
FQFT and cohomology
physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
This entry collects linked keywords for the book
Pierre Deligne, Pavel Etingof, Dan Freed, L. Jeffrey, David Kazhdan, John Morgan, David Morrison and Edward Witten, eds.
Quantum Fields and Strings, A course for mathematicians, 2 vols. Amer. Math. Soc. Providence 1999. (web version)
on quantum field theory and string theory.
Parts of this appear separately elsewhere, for instance
Pierre Deligne, John Morgan, Notes on supersymmetry (pdf notes)
Pierre Deligne, Daniel Freed, Supersolutions (arXiv:hep-th/9901094).
(see also at signs in supergeometry)
on fundamental supergeometry needed for describing fermion particles (and superstrings). See also
While advertized as “A course for mathematicians”, experience shows that it is not really suited for pure mathematicians without previous exposition to and tolerance for physics, particularly beyond the first chapters (which show strong ambition to be mathematically precise) towards the following lectures (which are mainly standard lectures of theoretical physicists). But it is much better than the average physics text.
More in detail: this is a long collection of (in parts) long lectures by many top string theorists and also by some genuine top mathematicians. Correspondingly it covers a lot of ground, while still being introductory. Especially towards the beginning there is a strong effort towards trying to formalize or at least systematize much of the standard lore. But one can see that eventually the task of doing that throughout had been overwhelming. Nevertheless, this is probably the best source that there is out there. If you only ever touch a single book on string theory, touch this one.
See also at string theory FAQ
bc-system?
Last revised on March 26, 2019 at 15:21:23. See the history of this page for a list of all contributions to it.