Lectures on topological quantum field theory

被引：6

作者：

Labastida, JMF ^{[1
]}

Lozano, C ^{[1
]}

机构：

[1] CERN, Div Theory, CH-1211 Geneva 23, Switzerland

来源：

TRENDS IN THEORETICAL PHYSICS - CERN-SANTIAGO DE COMPOSTELA-LA PLATA MEETING | 1998年 / 419期

关键词：

D O I：

10.1063/1.54705

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

In these lectures we present a general introduction to topological quantum field theories. These theories are discussed in the framework of the Mathai-Quillen formalism and in the context of twisted N = 2 supersymmetric theories. We discuss in detail the recent developments in Donaldson-Witten theory, obtained from the application of results based on duality for N = 2 supersymmetric Yang-Mills theories. This involves a description of the computation of Donaldson invariants in terms of Seiberg-Witten invariants. Generalizations of Donaldson-Witten theory are reviewed, and the structure of the vacuum expectation values of their observables is analysed in the context of duality for the simplest case.

引用

页码：54 / 93

页数：40

共 130 条

[1] KNOT INVARIANTS AND THE CRITICAL STATISTICAL SYSTEMS [J].