DILATION SHIFT UNDER DUALITY AND TORSION OF ELLIPTIC COMPLEX

被引：66

作者：

SCHWARZ, AS ^{[1
]}

TSEYTLIN, AA ^{[1
]}

机构：

[1] UNIV LONDON IMPERIAL COLL SCI TECHNOL & MED,BLACKETT LAB,THEORET PHYS GRP,LONDON SW7 2BZ,ENGLAND

来源：

NUCLEAR PHYSICS B | 1993年 / 399卷 / 2-3期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(93)90514-P

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We observe that the ratio of determinants of 2d laplacians which appear in the duality transformation relating two sigma models with abelian isometries can be represented as a torsion of an elliptic (DeRham) complex. As a result, this ratio can be computed exactly and is given by the exponential of local functional of 2d metric and target space metric. In this way the well-known dilation shift under duality is reproduced. We also present the exact computation of the determinant which appears in the duality transformation in the path integral.

引用

页码：691 / 708

页数：18

共 25 条

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