Topological Quantum Field Theories
نویسنده
چکیده
In this article, written primarily for physicists and geometers, we introduce the notion of TQFT, orbifold, and then we survey the construction of TQFTs originating from orbifolds such as Chen-Ruan cohomology and orbifold string topology.
منابع مشابه
Topological Quantum Field Theories
Following my plenary lecture on ICMP2000 I review my results concerning two closely related topics: topological quantum field theories and the problem of quantization of gauge theories. I start with old results (first examples of topological quantum field theories were constructed in my papers in late seventies) and I come to some new results, that were not published yet.
متن کاملTopological Matter in Two Dimensions
Topological quantum field theories containing matter fields are constructed by twisting N = 2 supersymmetric quantum field theories. It is shown that N = 2 chiral (antichiral) multiplets lead to topological sigma models while N = 2 twisted chiral (twisted antichiral) multiplets lead to Landau-Ginzburg type topological quantum field theories. In addition, topological gravity in two dimensions is...
متن کاملTopological Quantum Field Theory from the Viewpoint of Cellular Graphs
The edge-contraction axioms are introduced for topological recursion of multilinear maps that arise from cellular graphs, and it is proven that these axioms are equivalent to topological quantum field theories over a Frobenius algebra, assuming the consistency of the axioms. As an example, the concrete formulas of topological quantum field theories on the finite-dimensional abelian group algebr...
متن کاملSchwarz Type Topological Quantum Field Theories
Topological quantum field theories (TQFT) provide powerful tools to probe topology of manifolds, specifically in low dimensions[1, 2, 3, 4, 5]. This is achieved by incorporating very large gauge symmetries in the theory which lead to gauge invariant sectors with only topological degrees of freedom. These theories are of two types: (a) Schwarz type or Chern-Simons type and (b) Witten type or Coh...
متن کاملThe Classification of Topological Quantum Field Theories in Two Dimensions
The goal of this thesis is to introduce some of the major ideas behind extended topological quantum field theories with an emphasis on explicit examples and calculations. The statement of the Cobordism Hypothesis is explained and immediately used to classify framed and oriented extended 2 dimensional topological quantum field theories. The passage from framed theories to oriented theories is eq...
متن کامل93 N = 2 Supersymmetric Integrable Models and Topological Field Theories
These lectures review some of the basic properties of N = 2 superconformal field theories and the corresponding topological field theories. One of my basic aims is to show how the techniques of topological field theory can be used to compute effective LandauGinzburg potentials for perturbed N = 2 superconformal field theories. In particular, I will briefly discuss the application of these ideas...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006