Date of this Version
Communications in Mathematical Physics
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.
Moore, G., & Nelson, P. C. (1985). The Ætiology of Sigma Model Anomalies. Communications in Mathematical Physics, 100 (1), 83-132. http://dx.doi.org/10.1007/BF01212688
Date Posted: 01 May 2017
This document has been peer reviewed.