论文标题
4-manifolds上的6D $（1,0）$ scfts的MSW型压缩
MSW-type compactifications of 6d $(1,0)$ SCFTs on 4-manifolds
论文作者
论文摘要
在这项工作中，我们研究了6d $（1,0）$ scfts的压缩，特别是在Kähler4-manifolds上的压缩。我们展示了如何通过将M5 Branes包裹在4个非紧凑型卡拉比四倍的四倍上，并在纤维中具有奇异性来实现。这种压缩导致3D $ \ MATHCAL {n} = 2 $理论的域墙，该理论流到2d $ \ Mathcal {n} =（0,2）$ scfts。我们通过沿4个manifold采用特定的拓扑扭曲来计算这种2D CFT的中心电荷。此外，我们研究了导致3D-2D系统耦合的非紧缩4个manifolds的压缩。我们展示了如何将它们粘合在一起，以重现紧凑型情况下获得的中央电荷和异常多项式。最后，我们在某些特殊情况下研究混凝土CFT建议。
In this work, we study compactifications of 6d $(1,0)$ SCFTs, in particular those of conformal matter type, on Kähler 4-manifolds. We show how this can be realized via wrapping M5 branes on 4-cycles of non-compact Calabi-Yau fourfolds with ADE singularity in the fiber. Such compactifications lead to domain walls in 3d $\mathcal{N}=2$ theories which flow to 2d $\mathcal{N}=(0,2)$ SCFTs. We compute the central charges of such 2d CFTs via 6d anomaly polynomials by employing a particular topological twist along the 4-manifold. Moreover, we study compactifications on non-compact 4-manifolds leading to coupled 3d-2d systems. We show how these can be glued together consistently to reproduce the central charge and anomaly polynomial obtained in the compact case. Lastly, we study concrete CFT proposals for some special cases.
