TY - JOUR
T1 - Anomaly constraints on nonlinear sigma models
AU - Bagger, Jonathan
AU - Nemeschansky, Dennis
AU - Yankielowicz, Shimon
N1 - Funding Information:
* Work supported by the Department of Energy, contract DE-AC03-76SF00515 ** On leave of absence from the Department of Physics, Tel-Avlv Umverslty, Israel
PY - 1985/12/23
Y1 - 1985/12/23
N2 - Anomalies in nonlinear sigma models can sometimes be cancelled by local counterterms. We show that these counterterms have a simple topological interpretation, and that the requirements for anomaly cancellation can be easily understood in terms of 't Hooft's anomaly matching conditions. We exhibit the anomaly cancellation on homogeneous spaces G H and on general riemannian manifolds M. We include external gauge fields on the manifolds and derive the generalized anomaly-cancellation conditions. Finally, we discuss the implications of this work for superstring theories.
AB - Anomalies in nonlinear sigma models can sometimes be cancelled by local counterterms. We show that these counterterms have a simple topological interpretation, and that the requirements for anomaly cancellation can be easily understood in terms of 't Hooft's anomaly matching conditions. We exhibit the anomaly cancellation on homogeneous spaces G H and on general riemannian manifolds M. We include external gauge fields on the manifolds and derive the generalized anomaly-cancellation conditions. Finally, we discuss the implications of this work for superstring theories.
UR - https://www.scopus.com/pages/publications/0009160969
U2 - 10.1016/0550-3213(85)90326-8
DO - 10.1016/0550-3213(85)90326-8
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AN - SCOPUS:0009160969
SN - 0550-3213
VL - 262
SP - 478
EP - 494
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -