Anomalies of duality groups and extended conformal manifolds

Nathan Seiberg, Yuji Tachikawa, Kazuya Yonekura

研究成果: ジャーナルへの寄稿記事

6 引用 (Scopus)

抄録

A self-duality group G in quantum field theory can have anomalies. In that case, the space of ordinary coupling constants M can be extended to include the space F of coefficients of counterterms in background fields. The extended space N forms a bundle over M with fiber F, and the topology of the bundle is determined by the anomaly. For example, the G = SL(2, Z) duality of the 4D Maxwell theory has an anomaly, and the space F = S1 for the gravitational theta angle is nontrivially fibered over M = H/SL(2, Z). We will explain a simple method to determine the anomaly when the 4D theory is obtained by compactifying a 6D theory on a Riemann surface in terms of the anomaly polynomial of the parent 6D theory. Our observations resolve an apparent contradiction associated with the global structure of the Kähler potential on the space of exactly marginal couplings of supersymmetric theories.

元の言語英語
記事番号073B04
ジャーナルProgress of Theoretical and Experimental Physics
2018
発行部数7
DOI
出版物ステータス出版済み - 7 1 2018

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anomalies
bundles
polynomials
topology
fibers
coefficients

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

これを引用

Anomalies of duality groups and extended conformal manifolds. / Seiberg, Nathan; Tachikawa, Yuji; Yonekura, Kazuya.

:: Progress of Theoretical and Experimental Physics, 巻 2018, 番号 7, 073B04, 01.07.2018.

研究成果: ジャーナルへの寄稿記事

Seiberg, Nathan ; Tachikawa, Yuji ; Yonekura, Kazuya. / Anomalies of duality groups and extended conformal manifolds. :: Progress of Theoretical and Experimental Physics. 2018 ; 巻 2018, 番号 7.
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