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Anomaly of the Electromagnetic Duality of Maxwell Theory.

08:00 EDT 18th October 2019 | BioPortfolio

Summary of "Anomaly of the Electromagnetic Duality of Maxwell Theory."

We consider the (3+1)-dimensional Maxwell theory in the situation where going around nontrivial paths in the spacetime involves the action of the duality transformation exchanging the electric field and the magnetic field, as well as its SL(2,Z) generalizations. We find that the anomaly of this system in a particular formulation is 56 times that of a Weyl fermion. This result is derived in two independent ways: one is by using the bulk symmetry protected topological phase in (4+1) dimensions characterizing the anomaly, and the other is by considering the properties of a (5+1)-dimensional superconformal field theory known as the E-string theory. This anomaly of the Maxwell theory plays an important role in the consistency of string theory.

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This article was published in the following journal.

Name: Physical review letters
ISSN: 1079-7114
Pages: 161601

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