Abstract
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.
Highlights
We study the macroscopics of 2d N = (0, 4) SCFTs arising from F-theory constructions
In this example the black strings live in the six-dimensional N = (1, 0) supergravity theory obtained by reducing F-theory on the CY3 and have an AdS3×S3 near-horizon
In this paper we have studied the central charges and levels corresponding to black strings in F-theory compactified on an elliptically fibered Calabi-Yau threefold CY3
Summary
Number of massless hypermultiplets, vector multiplets and tensor multiplets Within this theory it is possible to find black string solutions which are the supergravity description of self-dual strings charged under tensor multiplets. Such fourdimensional spaces M4 have been classified and fall into four categories depending on their asymptotic properties. These are the ALE, ALF, ALG and ALH spaces. The metric is ALE when it asymptotically approaches a quotient of the Euclidean flat space metric. It is ALF when it approaches the metric on (R3 × S1)/Γ at infinity.
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