Anomaly of the Electromagnetic Duality of Maxwell Theory
書誌事項
- 公開日
- 2019-10-14
- 資源種別
- journal article
- 権利情報
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- https://creativecommons.org/licenses/by/4.0/
- DOI
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- 10.1103/physrevlett.123.161601
- 10.48550/arxiv.1905.08943
- 公開者
- American Physical Society (APS)
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説明
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 $\mathrm{SL}(2,\mathbb{Z})$ 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.
5+1 pages, 1 figure, 1 table; v2: references added, further discussion on "the transition from the self-dual tensor to 28 fermions in $5{+}1$ dimensions" added, published version up to formatting
収録刊行物
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- Physical Review Letters
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Physical Review Letters 123 (16), 161601-, 2019-10-14
American Physical Society (APS)
