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Anomalies of (0,4) SCFTs from F-theory

We study the macroscopics of 2d \(\mathcal{N}=(0,4)\) SCFTs arising from F-theory constructions. The class of 2d SCFTs we consider live on black strings which are obtained by wrapping D3-branes on a curve in the base of a possibly singular elliptically fibered Calabi-Yau threefold. In addition, we a...

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Bibliographic Details
Published in:arXiv.org 2020-06
Main Authors: Couzens, Christopher, Huibert het Lam, Mayer, Kilian, Vandoren, Stefan
Format: Article
Language:English
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Summary:We study the macroscopics of 2d \(\mathcal{N}=(0,4)\) SCFTs arising from F-theory constructions. The class of 2d SCFTs we consider live on black strings which are obtained by wrapping D3-branes on a curve in the base of a possibly singular elliptically fibered Calabi-Yau threefold. In addition, we allow the D3-branes to probe ALE or ALF spaces transversely. We compute anomaly coefficients of these SCFTs by determining Chern-Simons terms in the 3d action resulting from the reduction of 6d \(\mathcal{N}=(1,0)\) supergravity on the compact space surrounding the black string. Essential contributions to these coefficients are from one-loop induced Chern-Simons terms arising from integrating out massive Kaluza-Klein modes.
ISSN:2331-8422
DOI:10.48550/arxiv.2006.07380