On Adler-Bell-Jackiw Anomaly in 3-brane Scenario

TL;DR

This paper explores the Adler-Bell-Jackiw anomaly within a 3-brane effective field theory, revealing its dependence on bulk topology and embedding, and suggesting it may reflect non-trivial bulk quantum gravity effects.

Contribution

It demonstrates how the ABJ anomaly in a 3-brane context is influenced by bulk topology and embedding, highlighting potential non-trivial vacuum structures in bulk quantum gravity.

Findings

Anomaly depends on bulk space-time topology.

Embedding affects the induced gravity contribution.

Anomaly may not be canceled by brane matter content.

Abstract

We investigate the ABJ anomaly in the framework of an effective field theory for a 3-brane scenario and show that the contribution from induced gravity on the brane depends on both the topological structure of the bulk space-time and the embedding of the brane in the bulk. This fact implies the existence of a non-trivial vacuum structure of bulk quantum gravity. Furthermore, we argue that this axial gravitational anomaly may not necessarily be cancelled by choosing the matter content on the brane since it could be considered as a possible effect from bulk quantum gravity.