论文标题
来自F理论的(0,4)SCFT的异常
Anomalies of (0,4) SCFTs from F-theory
论文作者
论文摘要
我们研究了由F理论构造引起的2D $ \ MATHCAL {n} =(0,4)$ scfts的宏观学。我们认为生活在黑弦上的2D SCFT类,这些词是通过将D3-branes包裹在可能奇异的椭圆纤维纤维纤维的Calabi-yau三倍的曲线上而获得的。此外,我们允许D3晶体横向探测ALE或ALF空间。我们通过确定Chern-Simons项在3D动作中确定Chern-Simons项来计算这些SCFT的异常系数,这是由于6d $ \ Mathcal {n} =(1,0)$ SuperGravity在周围的黑色字符串周围的紧凑空间上降低。对这些系数的基本贡献是来自一环引起的Chern-Simons术语,这些术语是由整合大量的Kaluza-Klein模式而产生的。
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.