COMPUTER-TESTS OF WITTEN CHERN-SIMONS THEORY AGAINST THE THEORY OF 3-MANIFOLDS

被引：7

作者：

FREED, DS

GOMPF, RE

机构：

[1] Department of Mathematics, University of Texas at Austin, Austin

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 10期

关键词：

D O I：

10.1103/PhysRevLett.66.1255

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study Witten's (2 + 1)-dimensional Chern-Simons theory with gauge group SU(2). The partition function in this theory is a topological invariant of three-manifolds. Following the prescription given by Witten, we explicitly calculate this partition function on some three-manifolds and verify many of the predictions made by the path integral. Most strikingly, we check the perturbation theory against the exact solution.

引用

页码：1255 / 1258

页数：4