Coordinate and Kähler $σ$-Model Anomalies and Their Cancellation in String Effective Field Theories

Details Coordinate and Kähler $σ$-Model Anomalies and Their Cancellation in String Effective Field Theories Coordinate and Kähler $σ$-Model Anomalies and Their Cancellation in String Effective Field Theories

1992-05-05

arxiv.org/abs/hep-th/9205009v2

Nucl.Phys. B392 (1993) 315-344

Physics

High Energy Physics

High Energy Physics - Theory

33 pages (clarification of a few issues discussed in the paper)

Scientific paper

We discuss the complete set of one-loop triangle graphs involving the Yang-Mills gauge connection, the \Kahler\ connection and the $\sigma$-model coordinate connection in the effective field theory of $(2,2)$ symmetric $Z_N$ orbifolds. That is, we discuss pure gauge, pure \Kahler\ and pure $\sigma$-model coordinate anomalies as well as the mixed anomalies, such as \Kahler-gauge, some of which have been discussed elsewhere. We propose a mechanism for restoring both \Kahler\ and $\sigma$-model coordinate symmetry based upon the introduction of two types of counterterms. Finally, we enlarge the $\sigma$-model generalization of the Green-Schwarz mechanism to allow the removal of the universal parts of a wider class of anomalies than those previously discussed.

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