论文标题
更高衍生的超级重力，包装的M5烧烤和类$ \ Mathcal {r} $的理论
Higher-Derivative Supergravity, Wrapped M5-branes, and Theories of Class $\mathcal{R}$
论文作者
论文摘要
我们研究了四个衍生4D测量的超级效果，全息，包裹的M5溴和类$ \ Mathcal {r} $之间的相互作用之间的相互作用。利用Chern-Simons理论的双曲线三个字节和3D-3D对应关系的结果，我们能够约束四个衍生超级lagrangian中的两个独立系数。反过来，这使我们能够在无限类别的三维$ \ mathcal {n} = 2 $ scfts class $ \ mathcal {r} $的无限类别中计算超对称分区函数的超级式术语。我们还确定了渐近广告的Bekenstein-Hawking熵的领先校正，$ _4 $ _4 $黑洞是由包裹的M5-Branes引起的。此外，我们提出并测试了关于Chern-Simons理论的扰动分区函数的一些猜想，并在封闭的双曲线三元中使用复杂的ADE量规组。
We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class $\mathcal{R}$. Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we are able to constrain the two independent coefficients in the four-derivative supergravity Lagrangian. This in turn allows us to calculate the subleading terms in the large-$N$ expansion of supersymmetric partition functions for an infinite class of three-dimensional $\mathcal{N}=2$ SCFTs of class $\mathcal{R}$. We also determine the leading correction to the Bekenstein-Hawking entropy of asymptotically AdS$_4$ black holes arising from wrapped M5-branes. In addition, we propose and test some conjectures about the perturbative partition function of Chern-Simons theory with complexified ADE gauge groups on closed hyperbolic three-manifolds.
