Quantum Fields and Strings: A Course for Mathematicians, Part 2Pierre Deligne Ideas from quantum field theory and string theory have had considerable impact on mathematics since the 1980s. Advances in many different areas have been inspired by insights from physics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long programme designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. |
Contents
Lectures on Conformal Field Theory | 727 |
Axiomatic Approaches to Conformal Field Theory | 749 |
Sigma Models | 773 |
Copyright | |
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Quantum Fields and Strings: A Course for Mathematicians, Volume 2 Pierre Deligne No preview available - 1999 |
Common terms and phrases
bosonic string BRST canonical central charge chiral algebra classical complex components compute conformal field theory connection consider constant construction correlation functions corresponding covariant D-module defined denote derivatives dilaton dimension dimensional effective action equations fact factor fermions finite flat Fock space follows formula functional integral gauge field gauge group gauge theory given GSO projection Hamiltonian Hilbert space holomorphic instanton invariant isomorphism Lagrangian Lecture Lemma Lie algebra line bundle loop manifold massless metric g Minkowski moduli space obtained open string particles partition function path integral perturbation Phys physical Poincaré quantization quantum field theory Ramond renormalization representation scalar sigma model space-time spin structure spinor string theory superstring supersymmetry symmetry breaking tachyon tensor theorem topology transformations transition amplitudes vanishes vector fields vertex operators Virasoro algebra Weyl worldsheet Yang-Mills zero