منابع مشابه
Topological Quantum Field Theory
A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally. The model may also be interesting from a physical vie...
متن کاملPerturbative Topological Field Theory
We give a review of the application of perturbative techniques to topologi-cal quantum eld theories, in particular three-dimensional Chern-Simons-Witten theory and its various generalizations. To this end we give an introduction to graph homology and homotopy algebras and the work of Vassiliev and Kontsevich on perturbative knot invariants.
متن کاملTopological Field Theory
T-Duality on a timelike circle does not interchange IIA and IIB string theories, but takes the IIA theory to a type IIB * theory and the IIB theory to a type IIA * theory. The type II * theories admit E-branes, which are the images of the type II D-branes under timelike T-duality and correspond to imposing Dirichlet boundary conditions in time as well as some of the spatial directions. The effe...
متن کاملTopological Field Theory and Physics
Topological Yang-Mills theory with the Belavin-Polyakov-Schwarz-Tyupkin SU (2) instanton is solved completely, revealing an underlying multi-link intersection theory. Link invariants are also shown to survive the coupling to a certain kind of matter (hyperinstantons). The physical relevance of topological field theory and its invariants is discovered. By embedding topological Yang-Mills theory ...
متن کاملNotes on Topological Field Theory
Introduction The notes give a survey of the basics of the following topological field theories: • The Chern-Simons gauge theory on 3-manifolds, its renormalization, geometric quantization, computation of partition functions by surgery, and relation with Jones Polynomials • Twisted N = 2 supersymmetric Yang-Mills theory on 4-manifolds, its reduction to N = 1 theory with a mass gap, and computati...
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ژورنال
عنوان ژورنال: Physics Reports
سال: 1991
ISSN: 0370-1573
DOI: 10.1016/0370-1573(91)90117-5