Department of Physics Papers

Document Type

Journal Article

Date of this Version

3-1985

Publication Source

Communications in Mathematical Physics

Volume

100

Issue

1

Start Page

83

Last Page

132

DOI

10.1007/BF01212688

Abstract

Certain nonlinear sigma models with fermions are ill-defined due to an anomaly which exhibits characteristics of both the nonabelian gauge theory anomaly and the SU(2) anomaly. The simplest way to diagnose the anomaly involves consideration of the global topology of the theory. We review the mathematical methods needed for this analysis and apply them to several supersymmetric sigma models. Some of these are found to be anomalous.

Comments

At the time of publication, author Philip C. Nelson was affiliated with Harvard University. Currently, he is a faculty member in the Physics & Astronomy Department at the University of Pennsylvania.

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Date Posted: 01 May 2017

This document has been peer reviewed.